131253125 has 24 divisors (see below), whose sum is σ = 166129992. Its totient is φ = 103680000.

The previous prime is 131253119. The next prime is 131253131. The reversal of 131253125 is 521352131.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (131253119) and next prime (131253131).

It can be written as a sum of positive squares in 12 ways, for example, as 125574436 + 5678689 = 11206^2 + 2383^2 .

It is not a de Polignac number, because 131253125 - 2⁶ = 131253061 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 131253125.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 302909 + ... + 303341.

It is an arithmetic number, because the mean of its divisors is an integer number (6922083).

Almost surely, 2^131253125 is an apocalyptic number.

It is an amenable number.

131253125 is a deficient number, since it is larger than the sum of its proper divisors (34876867).

131253125 is an frugal number, since it uses more digits than its factorization.

131253125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 555 (or 535 counting only the distinct ones).

The product of its digits is 900, while the sum is 23.

The square root of 131253125 is about 11456.5756227592. The cubic root of 131253125 is about 508.2022116943.

The spelling of 131253125 in words is "one hundred thirty-one million, two hundred fifty-three thousand, one hundred twenty-five".