513613316315 has 16 divisors (see below), whose sum is σ = 674556664320. Its totient is φ = 372320212320.

The previous prime is 513613316311. The next prime is 513613316339.

513613316315 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 513613316315 - 2² = 513613316311 is a prime.

It is not an unprimeable number, because it can be changed into a prime (513613316311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15192275 + ... + 15226044.

It is an arithmetic number, because the mean of its divisors is an integer number (42159791520).

Almost surely, 2^513613316315 is an apocalyptic number.

513613316315 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

513613316315 is a deficient number, since it is larger than the sum of its proper divisors (160943348005).

513613316315 is a wasteful number, since it uses less digits than its factorization.

513613316315 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30418642.

The product of its digits is 72900, while the sum is 38.

It can be divided in two parts, 513613 and 316315, that added together give a palindrome (829928).

The spelling of 513613316315 in words is "five hundred thirteen billion, six hundred thirteen million, three hundred sixteen thousand, three hundred fifteen".