509 is the sum of three consecutive squares: 122 + 132 + 142 = 509.
In base 4, 509 is the palindrome 13331.
509 has a representation as a sum of two squares: 509 = 52 + 222.
509 is the hypotenuse of a primitive Pythagorean triple: 5092 = 2202 + 4592.
![](https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEg0JSr7lZYN4k7q0D6FcjZm0CrseTgFoDEIpkcdYgjrdxG2i1voIYiUwgM-Em4U6izjH1rKgWy4AA3wM9b9Jwo_2NHezIBxV9lm-QZ5OmQROwmG52rI0HZDrKy9O5itLGnb6b568gGxZqM/s400/n0509.jpg)
In the Clint Eastwood movie Firefox, 509 is the number on the conning tower of the submarine beneath the icepack.
Source: Prime Curios!
![](https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEg0JSr7lZYN4k7q0D6FcjZm0CrseTgFoDEIpkcdYgjrdxG2i1voIYiUwgM-Em4U6izjH1rKgWy4AA3wM9b9Jwo_2NHezIBxV9lm-QZ5OmQROwmG52rI0HZDrKy9O5itLGnb6b568gGxZqM/s400/n0509.jpg)
In the Clint Eastwood movie Firefox, 509 is the number on the conning tower of the submarine beneath the icepack.
Source: Prime Curios!