31627992511129 has 15 divisors (see below), whose sum is σ = 36897450604703. Its totient is φ = 27109471663848.

The previous prime is 31627992511033. The next prime is 31627992511153. The reversal of 31627992511129 is 92111529972613.

The square root of 31627992511129 is 5623877.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 31047574041225 + 580418469904 = 5572035^2 + 761852^2 .

It is not a de Polignac number, because 31627992511129 - 2³⁷ = 31490553557657 is a prime.

It is a super-3 number, since 3×31627992511129³ (a number of 41 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (31627992521129) 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 14 ways as a sum of consecutive naturals, for example, 275512587 + ... + 275627359.

Almost surely, 2^{31627992511129} is an apocalyptic number.

31627992511129 is the 5623877-th square number.

31627992511129 is the 2811939-th centered octagonal number.

It is an amenable number.

31627992511129 is a deficient number, since it is larger than the sum of its proper divisors (5269458093574).

31627992511129 is an frugal number, since it uses more digits than its factorization.

31627992511129 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 229574 (or 114780 counting only the distinct ones).

The product of its digits is 3674160, while the sum is 58.

The spelling of 31627992511129 in words is "thirty-one trillion, six hundred twenty-seven billion, nine hundred ninety-two million, five hundred eleven thousand, one hundred twenty-nine".