509164209 has 12 divisors (see below), whose sum is σ = 741252096. Its totient is φ = 336769272.

The previous prime is 509164193. The next prime is 509164211. The reversal of 509164209 is 902461905.

509164209 is a `hidden beast` number, since 5 + 0 + 9 + 1 + 642 + 0 + 9 = 666.

It is not a de Polignac number, because 509164209 - 2⁴ = 509164193 is a prime.

It is not an unprimeable number, because it can be changed into a prime (509164219) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 221589 + ... + 223874.

It is an arithmetic number, because the mean of its divisors is an integer number (61771008).

Almost surely, 2^509164209 is an apocalyptic number.

It is an amenable number.

509164209 is a deficient number, since it is larger than the sum of its proper divisors (232087887).

509164209 is a wasteful number, since it uses less digits than its factorization.

509164209 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 445596 (or 445593 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The square root of 509164209 is about 22564.6672698713. The cubic root of 509164209 is about 798.5202902822.

The spelling of 509164209 in words is "five hundred nine million, one hundred sixty-four thousand, two hundred nine".