125552697300900 has 81 divisors (see below), whose sum is σ = 393539008188963. Its totient is φ = 33480629640000.

The previous prime is 125552697300883. The next prime is 125552697300923. The reversal of 125552697300900 is 9003796255521.

The square root of 125552697300900 is 11205030.

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

125552697300900 is a `hidden beast` number, since 1 + 25 + 5 + 526 + 9 + 7 + 3 + 0 + 0 + 90 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 37256154703524 + 88296542597376 = 6103782^2 + 9396624^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 335964150 + ... + 336337650.

Almost surely, 2^{125552697300900} is an apocalyptic number.

125552697300900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

125552697300900 is the 11205030-th square number.

It is an amenable number.

125552697300900 is an abundant number, since it is smaller than the sum of its proper divisors (267986310888063).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

125552697300900 is an frugal number, since it uses more digits than its factorization.

125552697300900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 747022 (or 373511 counting only the distinct ones).

The product of its (nonzero) digits is 5103000, while the sum is 54.

The spelling of 125552697300900 in words is "one hundred twenty-five trillion, five hundred fifty-two billion, six hundred ninety-seven million, three hundred thousand, nine hundred".