513000000315 has 24 divisors (see below), whose sum is σ = 970036365168. Its totient is φ = 248727272640.

The previous prime is 513000000269. The next prime is 513000000367.

It is a happy number.

513000000315 is a `hidden beast` number, since 51 + 300 + 0 + 0 + 0 + 0 + 315 = 666.

513000000315 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 513000000315 - 2¹¹ = 512999998267 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 518181324 + ... + 518182313.

It is an arithmetic number, because the mean of its divisors is an integer number (40418181882).

Almost surely, 2^513000000315 is an apocalyptic number.

513000000315 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

513000000315 is a deficient number, since it is larger than the sum of its proper divisors (457036364853).

513000000315 is a wasteful number, since it uses less digits than its factorization.

513000000315 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1036363659 (or 1036363656 counting only the distinct ones).

The product of its (nonzero) digits is 225, while the sum is 18.

It can be divided in two parts, 513000000 and 315, that added together give a palindrome (513000315).

The spelling of 513000000315 in words is "five hundred thirteen billion, three hundred fifteen", and thus it is an aban number.