125588728225 has 9 divisors (see below), whose sum is σ = 155732220217. Its totient is φ = 100469565040.

The previous prime is 125588728219. The next prime is 125588728241. The reversal of 125588728225 is 522827885521.

The square root of 125588728225 is 354385.

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

It can be written as a sum of positive squares in 4 ways, for example, as 35531119009 + 90057609216 = 188497^2 + 300096^2 .

It is not a de Polignac number, because 125588728225 - 2²⁷ = 125454510497 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1736487 + ... + 1807363.

Almost surely, 2^125588728225 is an apocalyptic number.

125588728225 is the 354385-th square number.

125588728225 is the 177193-rd centered octagonal number.

It is an amenable number.

125588728225 is a deficient number, since it is larger than the sum of its proper divisors (30143491992).

125588728225 is an frugal number, since it uses more digits than its factorization.

125588728225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141764 (or 70882 counting only the distinct ones).

The product of its digits is 7168000, while the sum is 55.

The spelling of 125588728225 in words is "one hundred twenty-five billion, five hundred eighty-eight million, seven hundred twenty-eight thousand, two hundred twenty-five".