125865961 has 9 divisors (see below), whose sum is σ = 136450839. Its totient is φ = 116049336.

The previous prime is 125865923. The next prime is 125865973. The reversal of 125865961 is 169568521.

The square root of 125865961 is 11219.

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

It can be written as a sum of positive squares in only one way, i.e., 18619225 + 107246736 = 4315^2 + 10356^2 .

It is not a de Polignac number, because 125865961 - 2⁷ = 125865833 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (125865911) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 145416 + ... + 146278.

Almost surely, 2^125865961 is an apocalyptic number.

125865961 is the 11219-th square number.

125865961 is the 5610-th centered octagonal number.

It is an amenable number.

125865961 is a deficient number, since it is larger than the sum of its proper divisors (10584878).

125865961 is an frugal number, since it uses more digits than its factorization.

125865961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1752 (or 876 counting only the distinct ones).

The product of its digits is 129600, while the sum is 43.

The cubic root of 125865961 is about 501.1519586112.

Multiplying 125865961 by its product of digits (129600), we get a square (16312228545600 = 4038840²).

The spelling of 125865961 in words is "one hundred twenty-five million, eight hundred sixty-five thousand, nine hundred sixty-one".