125533089264025 has 81 divisors (see below), whose sum is σ = 162457244240823. Its totient is φ = 96223075804800.

The previous prime is 125533089264017. The next prime is 125533089264047. The reversal of 125533089264025 is 520462980335521.

The square root of 125533089264025 is 11204155.

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

It can be written as a sum of positive squares in 13 ways, for example, as 90574297804809 + 34958791459216 = 9517053^2 + 5912596^2 .

It is not a de Polignac number, because 125533089264025 - 2³ = 125533089264017 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 147166575499 + ... + 147166576351.

Almost surely, 2^{125533089264025} is an apocalyptic number.

125533089264025 is the 11204155-th square number.

125533089264025 is the 5602078-th centered octagonal number.

It is an amenable number.

125533089264025 is a deficient number, since it is larger than the sum of its proper divisors (36924154976798).

125533089264025 is an frugal number, since it uses more digits than its factorization.

125533089264025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1932 (or 966 counting only the distinct ones).

The product of its (nonzero) digits is 15552000, while the sum is 55.

The spelling of 125533089264025 in words is "one hundred twenty-five trillion, five hundred thirty-three billion, eighty-nine million, two hundred sixty-four thousand, twenty-five".