To reach the top of Google and stay there, your website must deserve to be there. One way to make it deserve this high position is to use SEO tools to help you analyze what you are doing and make recommendations on making improvements and here is a list of some of the best tools you can use:

Google PageSpeed Insights

https://developers.google.com/speed/pagespeed/insights/
This simple tool from Google lets you type in your website address and it runs a report for speed and usability on multiple devices.

Pingdom Speed Test

http://tools.pingdom.com
This tool will run a speed test on your website and tell you how long it takes to load your website, it will compare it to other websites and it will show you information on what is slowing your website down the most.

Moz Local Listing Score

https://moz.com/local/search
Moz Local Listings shows you how well your website is performing on local search, this has become a hot topic lately and Moz will pull data from 15 important sources.

Keywordtool.io

The Keyword Tool provides a huge number of long-tail keyword opportunities, organized alphabetically based on one keyword that you enter.

Google Analytics

http://analytics.google.com
This free tool is the godfather of analyzing traffic to your website, it is from Google and will let you check massive amounts of data based on your traffic.

Google Webmaster Tools

http://webmaster.google.com
Sign up here and monitor your website for any issues. A great tool to also submit your website to Google’s index and force Google to crawl your website.

Google Keyword Planner

http://adwords.google.com/keywordplanner
Find out what the most popular keywords you need to rank for are, this tool is part of Google Adwords but is free to use.

Google Trends

http://trends.google.com
This is a great tool for planning and forecasting traffic, seeing the trends, finding out when people are most interested in a topic, or seeing if a topic is building in traffic or dropping.

Quill Engage

https://www.quillengage.com
Turns complicated to read Google Analytics data into much easier information to understand giving you human-like written reports based on your data from Analytics.

Serps

https://serps.com/tools/rank_checker
Use this tool to find where your website ranks for various keywords, you can also use this to see how you rank in different countries.

XML Sitemaps

https://www.xml-sitemaps.com/
Generate a sitemap for free which you can easily upload to Google Webmaster tools.

SEO Site Checkup

http://seositecheckup.com/
A free audit tool that gives information on a variety of SEO topics.

Find Broken Links

http://www.internetmarketingninjas.com/seo-tools/google-sitemap-generator/
Find broken links on your website so you can fix them easily.

Copyscape

http://www.copyscape.com/
Having copied text on your website (also known as duplicated content) is a no-no and you may find yourself lower on Google because of it, use Copyscape to check your website text for duplicated content.

Hootsuite

https://hootsuite.com/
Easily manage your social media profiles all from one dashboard saving you time and money. Also, measure ROI from add spend.

Wayback Machine

www.waybackmachine.org
Check how websites used to look in the past.