513164504313 has 12 divisors (see below), whose sum is σ = 741713094720. Its totient is φ = 341890218456.

The previous prime is 513164504309. The next prime is 513164504401. The reversal of 513164504313 is 313405461315.

513164504313 is a `hidden beast` number, since 5 + 1 + 3 + 1 + 645 + 0 + 4 + 3 + 1 + 3 = 666.

It is not a de Polignac number, because 513164504313 - 2² = 513164504309 is a prime.

It is not an unprimeable number, because it can be changed into a prime (513164504213) 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, 18272781 + ... + 18300842.

It is an arithmetic number, because the mean of its divisors is an integer number (61809424560).

Almost surely, 2^513164504313 is an apocalyptic number.

It is an amenable number.

513164504313 is a deficient number, since it is larger than the sum of its proper divisors (228548590407).

513164504313 is a wasteful number, since it uses less digits than its factorization.

513164504313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36575188 (or 36575185 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

Adding to 513164504313 its reverse (313405461315), we get a palindrome (826569965628).

The spelling of 513164504313 in words is "five hundred thirteen billion, one hundred sixty-four million, five hundred four thousand, three hundred thirteen".