513323323315 has 24 divisors (see below), whose sum is σ = 692823734064. Its totient is φ = 364644033600.

The previous prime is 513323323307. The next prime is 513323323343.

513323323315 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 513323323315 - 2³ = 513323323307 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, 9839896 + ... + 9891925.

It is an arithmetic number, because the mean of its divisors is an integer number (28867655586).

Almost surely, 2^513323323315 is an apocalyptic number.

513323323315 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

513323323315 is a deficient number, since it is larger than the sum of its proper divisors (179500410749).

513323323315 is a wasteful number, since it uses less digits than its factorization.

513323323315 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19731891 (or 19731880 counting only the distinct ones).

The product of its digits is 72900, while the sum is 34.

It can be divided in two parts, 513323 and 323315, that added together give a palindrome (836638).

The spelling of 513323323315 in words is "five hundred thirteen billion, three hundred twenty-three million, three hundred twenty-three thousand, three hundred fifteen".