131162625 has 64 divisors (see below), whose sum is σ = 264625920. Its totient is φ = 63576000.

The previous prime is 131162611. The next prime is 131162639. The reversal of 131162625 is 526261131.

131162625 is a `hidden beast` number, since 1 + 3 + 11 + 626 + 25 = 666.

It is an interprime number because it is at equal distance from previous prime (131162611) and next prime (131162639).

It is not a de Polignac number, because 131162625 - 2⁴ = 131162609 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 35359 + ... + 38891.

It is an arithmetic number, because the mean of its divisors is an integer number (4134780).

Almost surely, 2^131162625 is an apocalyptic number.

131162625 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

131162625 is an abundant number, since it is smaller than the sum of its proper divisors (133463295).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

131162625 is a wasteful number, since it uses less digits than its factorization.

131162625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3568 (or 3552 counting only the distinct ones).

The product of its digits is 2160, while the sum is 27.

The square root of 131162625 is about 11452.6252448947. The cubic root of 131162625 is about 508.0853817778.

It can be divided in two parts, 1311 and 62625, that added together give a palindrome (63936).

The spelling of 131162625 in words is "one hundred thirty-one million, one hundred sixty-two thousand, six hundred twenty-five".