125080983649521 has 27 divisors (see below), whose sum is σ = 182382075609643. Its totient is φ = 82605630662880.

The previous prime is 125080983649519. The next prime is 125080983649591. The reversal of 125080983649521 is 125946389080521.

The square root of 125080983649521 is 11183961.

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

125080983649521 is a `hidden beast` number, since 1 + 2 + 5 + 0 + 8 + 0 + 98 + 36 + 495 + 21 = 666.

It can be written as a sum of positive squares in only one way, i.e., 17978354727921 + 107102628921600 = 4240089^2 + 10349040^2 .

It is not a de Polignac number, because 125080983649521 - 2¹ = 125080983649519 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (125080983649591) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 3590034061 + ... + 3590068901.

Almost surely, 2^{125080983649521} is an apocalyptic number.

125080983649521 is the 11183961-st square number.

125080983649521 is the 5591981-st centered octagonal number.

It is an amenable number.

125080983649521 is a deficient number, since it is larger than the sum of its proper divisors (57301091960122).

125080983649521 is an frugal number, since it uses more digits than its factorization.

125080983649521 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69902 (or 34951 counting only the distinct ones).

The product of its (nonzero) digits is 37324800, while the sum is 63.

The spelling of 125080983649521 in words is "one hundred twenty-five trillion, eighty billion, nine hundred eighty-three million, six hundred forty-nine thousand, five hundred twenty-one".