509205 has 16 divisors (see below), whose sum is σ = 826560. Its totient is φ = 267648.

The previous prime is 509203. The next prime is 509221. The reversal of 509205 is 502905.

It is not a de Polignac number, because 509205 - 2¹ = 509203 is a prime.

It is a Curzon number.

It is a nialpdrome in base 9.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 509205.

It is not an unprimeable number, because it can be changed into a prime (509203) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1041 + ... + 1449.

It is an arithmetic number, because the mean of its divisors is an integer number (51660).

2⁵⁰⁹²⁰⁵ is an apocalyptic number.

It is an amenable number.

509205 is a deficient number, since it is larger than the sum of its proper divisors (317355).

509205 is a wasteful number, since it uses less digits than its factorization.

509205 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 500.

The product of its (nonzero) digits is 450, while the sum is 21.

The square root of 509205 is about 713.5860144369. The cubic root of 509205 is about 79.8541613836.

The spelling of 509205 in words is "five hundred nine thousand, two hundred five".