125880957 has 12 divisors (see below), whose sum is σ = 182130780. Its totient is φ = 83780928.

The previous prime is 125880949. The next prime is 125880959. The reversal of 125880957 is 759088521.

It is a happy number.

125880957 is a `hidden beast` number, since 12 + 588 + 0 + 9 + 57 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 62821476 + 63059481 = 7926^2 + 7941^2 .

It is not a de Polignac number, because 125880957 - 2³ = 125880949 is a prime.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125880959) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5782 + ... + 16887.

It is an arithmetic number, because the mean of its divisors is an integer number (15177565).

Almost surely, 2^125880957 is an apocalyptic number.

It is an amenable number.

125880957 is a deficient number, since it is larger than the sum of its proper divisors (56249823).

125880957 is a wasteful number, since it uses less digits than its factorization.

125880957 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23292 (or 23289 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 45.

The square root of 125880957 is about 11219.6683106053. The cubic root of 125880957 is about 501.1718606728.

It can be divided in two parts, 1258 and 80957, that added together give a triangular number (82215 = T₄₀₅).

The spelling of 125880957 in words is "one hundred twenty-five million, eight hundred eighty thousand, nine hundred fifty-seven".