315531135513 has 24 divisors (see below), whose sum is σ = 499135250016. Its totient is φ = 190486886400.

The previous prime is 315531135463. The next prime is 315531135533.

315531135513 is a `hidden beast` number, since 3 + 1 + 5 + 5 + 3 + 1 + 135 + 513 = 666.

315531135513 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 315531135513 - 2¹² = 315531131417 is a prime.

It is not an unprimeable number, because it can be changed into a prime (315531135533) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6175303 + ... + 6226188.

It is an arithmetic number, because the mean of its divisors is an integer number (20797302084).

Almost surely, 2^315531135513 is an apocalyptic number.

315531135513 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

315531135513 is a deficient number, since it is larger than the sum of its proper divisors (183604114503).

315531135513 is a wasteful number, since it uses less digits than its factorization.

315531135513 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12401765 (or 12401762 counting only the distinct ones).

The product of its digits is 50625, while the sum is 36.

The spelling of 315531135513 in words is "three hundred fifteen billion, five hundred thirty-one million, one hundred thirty-five thousand, five hundred thirteen".