125865300625 has 45 divisors (see below), whose sum is σ = 164683824151. Its totient is φ = 96158216000.

The previous prime is 125865300619. The next prime is 125865300637. The reversal of 125865300625 is 526003568521.

The square root of 125865300625 is 354775.

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

It can be written as a sum of positive squares in 7 ways, for example, as 124271055441 + 1594245184 = 352521^2 + 39928^2 .

It is not a de Polignac number, because 125865300625 - 2³⁵ = 91505562257 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 203995317 + ... + 203995933.

Almost surely, 2^125865300625 is an apocalyptic number.

125865300625 is the 354775-th square number.

125865300625 is the 177388-th centered octagonal number.

It is an amenable number.

125865300625 is a deficient number, since it is larger than the sum of its proper divisors (38818523526).

125865300625 is an frugal number, since it uses more digits than its factorization.

125865300625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1300 (or 645 counting only the distinct ones).

The product of its (nonzero) digits is 432000, while the sum is 43.

The spelling of 125865300625 in words is "one hundred twenty-five billion, eight hundred sixty-five million, three hundred thousand, six hundred twenty-five".