31007261007 has 24 divisors (see below), whose sum is σ = 45259124768. Its totient is φ = 20454508800.

The previous prime is 31007260943. The next prime is 31007261029. The reversal of 31007261007 is 70016270013.

It is not a de Polignac number, because 31007261007 - 2⁶ = 31007260943 is a prime.

It is a super-2 number, since 2×31007261007² (a number of 22 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31007261057) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1211907 + ... + 1237227.

Almost surely, 2^31007261007 is an apocalyptic number.

31007261007 is a deficient number, since it is larger than the sum of its proper divisors (14251863761).

31007261007 is a wasteful number, since it uses less digits than its factorization.

31007261007 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26751 (or 26748 counting only the distinct ones).

The product of its (nonzero) digits is 1764, while the sum is 27.

The spelling of 31007261007 in words is "thirty-one billion, seven million, two hundred sixty-one thousand, seven".