509307513 has 24 divisors (see below), whose sum is σ = 803847744. Its totient is φ = 284924640.

The previous prime is 509307497. The next prime is 509307517. The reversal of 509307513 is 315703905.

It is not a de Polignac number, because 509307513 - 2⁴ = 509307497 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (509307517) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 49245 + ... + 58682.

It is an arithmetic number, because the mean of its divisors is an integer number (33493656).

Almost surely, 2^509307513 is an apocalyptic number.

It is an amenable number.

509307513 is a deficient number, since it is larger than the sum of its proper divisors (294540231).

509307513 is a wasteful number, since it uses less digits than its factorization.

509307513 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107965 (or 107954 counting only the distinct ones).

The product of its (nonzero) digits is 14175, while the sum is 33.

The square root of 509307513 is about 22567.8424533671. The cubic root of 509307513 is about 798.5951976276.

The spelling of 509307513 in words is "five hundred nine million, three hundred seven thousand, five hundred thirteen".