131675625 has 105 divisors (see below), whose sum is σ = 262065331. Its totient is φ = 66096000.

The previous prime is 131675617. The next prime is 131675627. The reversal of 131675625 is 526576131.

The square root of 131675625 is 11475.

It is a perfect power (a square), and thus also a powerful number.

131675625 is a `hidden beast` number, since 1 + 31 + 67 + 562 + 5 = 666.

It can be written as a sum of positive squares in 7 ways, for example, as 64304361 + 67371264 = 8019^2 + 8208^2 .

It is not a de Polignac number, because 131675625 - 2³ = 131675617 is a prime.

It is a Duffinian number.

Its product of digits (37800) is a multiple of the sum of its prime divisors (25).

It is a Curzon number.

It is a nialpdrome in base 15.

It is a self number, because there is not a number n which added to its sum of digits gives 131675625.

It is not an unprimeable number, because it can be changed into a prime (131675627) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 104 ways as a sum of consecutive naturals, for example, 7745617 + ... + 7745633.

Almost surely, 2^131675625 is an apocalyptic number.

131675625 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

131675625 is the 11475-th square number.

131675625 is the 5738-th centered octagonal number.

It is an amenable number.

131675625 is a deficient number, since it is larger than the sum of its proper divisors (130389706).

131675625 is an frugal number, since it uses more digits than its factorization.

131675625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72 (or 25 counting only the distinct ones).

The product of its digits is 37800, while the sum is 36.

The cubic root of 131675625 is about 508.7469236976.

Multiplying 131675625 by its sum of digits (36), we get a square (4740322500 = 68850²).

The spelling of 131675625 in words is "one hundred thirty-one million, six hundred seventy-five thousand, six hundred twenty-five".