131627515625 has 28 divisors (see below), whose sum is σ = 167230750044. Its totient is φ = 103575000000.

The previous prime is 131627515567. The next prime is 131627515661. The reversal of 131627515625 is 526515726131.

It can be written as a sum of positive squares in 14 ways, for example, as 39777909136 + 91849606489 = 199444^2 + 303067^2 .

It is not a de Polignac number, because 131627515625 - 2¹⁸ = 131627253481 is a prime.

It is a Duffinian number.

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 27 ways as a sum of consecutive naturals, for example, 884075 + ... + 1022175.

Almost surely, 2^131627515625 is an apocalyptic number.

It is an amenable number.

131627515625 is a deficient number, since it is larger than the sum of its proper divisors (35603234419).

131627515625 is an frugal number, since it uses more digits than its factorization.

131627515625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138192 (or 138167 counting only the distinct ones).

The product of its digits is 378000, while the sum is 44.

The spelling of 131627515625 in words is "one hundred thirty-one billion, six hundred twenty-seven million, five hundred fifteen thousand, six hundred twenty-five".