131132616156625 has 64 divisors (see below), whose sum is σ = 169959802888512. Its totient is φ = 100934553600000.

The previous prime is 131132616156551. The next prime is 131132616156701. The reversal of 131132616156625 is 526651616231131.

It can be written as a sum of positive squares in 32 ways, for example, as 130565564987841 + 567051168784 = 11426529^2 + 753028^2 .

It is not a de Polignac number, because 131132616156625 - 2¹⁵ = 131132616123857 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6353006305 + ... + 6353026945.

It is an arithmetic number, because the mean of its divisors is an integer number (2655621920133).

Almost surely, 2^{131132616156625} is an apocalyptic number.

It is an amenable number.

131132616156625 is a deficient number, since it is larger than the sum of its proper divisors (38827186731887).

131132616156625 is a wasteful number, since it uses less digits than its factorization.

131132616156625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37751 (or 37741 counting only the distinct ones).

The product of its digits is 1166400, while the sum is 49.

The spelling of 131132616156625 in words is "one hundred thirty-one trillion, one hundred thirty-two billion, six hundred sixteen million, one hundred fifty-six thousand, six hundred twenty-five".