513523325315 has 64 divisors (see below), whose sum is σ = 827546775552. Its totient is φ = 295435468800.

The previous prime is 513523325279. The next prime is 513523325351.

513523325315 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (513523325279) and next prime (513523325351).

It is not a de Polignac number, because 513523325315 - 2⁶ = 513523325251 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 47406950 + ... + 47417780.

It is an arithmetic number, because the mean of its divisors is an integer number (12930418368).

Almost surely, 2^513523325315 is an apocalyptic number.

513523325315 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

513523325315 is a deficient number, since it is larger than the sum of its proper divisors (314023450237).

513523325315 is a wasteful number, since it uses less digits than its factorization.

513523325315 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20340.

The product of its digits is 202500, while the sum is 38.

It can be divided in two parts, 513523 and 325315, that added together give a palindrome (838838).

The spelling of 513523325315 in words is "five hundred thirteen billion, five hundred twenty-three million, three hundred twenty-five thousand, three hundred fifteen".