31520540511513 has 6 divisors (see below), whose sum is σ = 45529669627754. Its totient is φ = 21013693674336.

The previous prime is 31520540511487. The next prime is 31520540511547. The reversal of 31520540511513 is 31511504502513.

31520540511513 is a `hidden beast` number, since 3 + 1 + 52 + 0 + 5 + 40 + 51 + 1 + 513 = 666.

It can be written as a sum of positive squares in only one way, i.e., 21263977018944 + 10256563492569 = 4611288^2 + 3202587^2 .

It is not a de Polignac number, because 31520540511513 - 2¹⁰ = 31520540510489 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (31520540511913) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1751141139520 + ... + 1751141139537.

Almost surely, 2^{31520540511513} is an apocalyptic number.

It is an amenable number.

31520540511513 is a deficient number, since it is larger than the sum of its proper divisors (14009129116241).

31520540511513 is a wasteful number, since it uses less digits than its factorization.

31520540511513 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3502282279063 (or 3502282279060 counting only the distinct ones).

The product of its (nonzero) digits is 45000, while the sum is 36.

The spelling of 31520540511513 in words is "thirty-one trillion, five hundred twenty billion, five hundred forty million, five hundred eleven thousand, five hundred thirteen".