131516125 has 16 divisors (see below), whose sum is σ = 176759856. Its totient is φ = 97118400.

The previous prime is 131516117. The next prime is 131516129. The reversal of 131516125 is 521615131.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 74407876 + 57108249 = 8626^2 + 7557^2 .

It is not a de Polignac number, because 131516125 - 2³ = 131516117 is a prime.

It is a super-2 number, since 2×131516125² = 34592982270031250, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a self number, because there is not a number n which added to its sum of digits gives 131516125.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131516129) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 38842 + ... + 42091.

It is an arithmetic number, because the mean of its divisors is an integer number (11047491).

Almost surely, 2^131516125 is an apocalyptic number.

It is an amenable number.

131516125 is a deficient number, since it is larger than the sum of its proper divisors (45243731).

131516125 is an equidigital number, since it uses as much as digits as its factorization.

131516125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80961 (or 80951 counting only the distinct ones).

The product of its digits is 900, while the sum is 25.

The square root of 131516125 is about 11468.0480030387. The cubic root of 131516125 is about 508.5414239569.

The spelling of 131516125 in words is "one hundred thirty-one million, five hundred sixteen thousand, one hundred twenty-five".