509165397 has 36 divisors (see below), whose sum is σ = 799144164. Its totient is φ = 312249600.

The previous prime is 509165387. The next prime is 509165411. The reversal of 509165397 is 793561905.

509165397 is a `hidden beast` number, since 509 + 1 + 6 + 53 + 97 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 94595076 + 414570321 = 9726^2 + 20361^2 .

It is not a de Polignac number, because 509165397 - 2⁴ = 509165381 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (509165357) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 846897 + ... + 847497.

It is an arithmetic number, because the mean of its divisors is an integer number (22198449).

Almost surely, 2^509165397 is an apocalyptic number.

It is an amenable number.

509165397 is a deficient number, since it is larger than the sum of its proper divisors (289978767).

509165397 is a wasteful number, since it uses less digits than its factorization.

509165397 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1190 (or 1174 counting only the distinct ones).

The product of its (nonzero) digits is 255150, while the sum is 45.

The square root of 509165397 is about 22564.6935941971. The cubic root of 509165397 is about 798.5209113270.

The spelling of 509165397 in words is "five hundred nine million, one hundred sixty-five thousand, three hundred ninety-seven".