10627265131 has 32 divisors (see below), whose sum is σ = 12994560000. Its totient is φ = 8483844096.

The previous prime is 10627265113. The next prime is 10627265153. The reversal of 10627265131 is 13156272601.

It is not a de Polignac number, because 10627265131 - 2²⁷ = 10493047403 is a prime.

It is a super-2 number, since 2×10627265131² (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10627265101) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8507995 + ... + 8509243.

It is an arithmetic number, because the mean of its divisors is an integer number (406080000).

Almost surely, 2^10627265131 is an apocalyptic number.

10627265131 is a deficient number, since it is larger than the sum of its proper divisors (2367294869).

10627265131 is a wasteful number, since it uses less digits than its factorization.

10627265131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1963.

The product of its (nonzero) digits is 15120, while the sum is 34.

The spelling of 10627265131 in words is "ten billion, six hundred twenty-seven million, two hundred sixty-five thousand, one hundred thirty-one".