31506675642 has 48 divisors (see below), whose sum is σ = 73528957320. Its totient is φ = 9692597376.

The previous prime is 31506675617. The next prime is 31506675667. The reversal of 31506675642 is 24657660513.

31506675642 is a `hidden beast` number, since 31 + 50 + 6 + 6 + 7 + 564 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (31506675617) and next prime (31506675667).

It can be written as a sum of positive squares in 4 ways, for example, as 29227663521 + 2279012121 = 170961^2 + 47739^2 .

It is a super-2 number, since 2×31506675642² (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 1938084 + ... + 1954272.

Almost surely, 2^31506675642 is an apocalyptic number.

31506675642 is an abundant number, since it is smaller than the sum of its proper divisors (42022281678).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

31506675642 is a wasteful number, since it uses less digits than its factorization.

31506675642 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24527 (or 24524 counting only the distinct ones).

The product of its (nonzero) digits is 907200, while the sum is 45.

The spelling of 31506675642 in words is "thirty-one billion, five hundred six million, six hundred seventy-five thousand, six hundred forty-two".