31607415631 has 48 divisors (see below), whose sum is σ = 37702052640. Its totient is φ = 26377472000.

The previous prime is 31607415577. The next prime is 31607415641. The reversal of 31607415631 is 13651470613.

It is not a de Polignac number, because 31607415631 - 2¹¹ = 31607413583 is a prime.

It is a super-2 number, since 2×31607415631² (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31607415641) 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 47 ways as a sum of consecutive naturals, for example, 16625781 + ... + 16627681.

It is an arithmetic number, because the mean of its divisors is an integer number (785459430).

Almost surely, 2^31607415631 is an apocalyptic number.

31607415631 is a deficient number, since it is larger than the sum of its proper divisors (6094637009).

31607415631 is a wasteful number, since it uses less digits than its factorization.

31607415631 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2136 (or 2125 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 37.

It can be divided in two parts, 316074 and 15631, that added together give a triangular number (331705 = T₈₁₄).

The spelling of 31607415631 in words is "thirty-one billion, six hundred seven million, four hundred fifteen thousand, six hundred thirty-one".