125430013921 has 27 divisors (see below), whose sum is σ = 135406392883. Its totient is φ = 116164808000.

The previous prime is 125430013903. The next prime is 125430013927. The reversal of 125430013921 is 129310034521.

The square root of 125430013921 is 354161.

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

It can be written as a sum of positive squares in only one way, i.e., 97653125025 + 27776888896 = 312495^2 + 166664^2 .

It is not a de Polignac number, because 125430013921 - 2⁵ = 125430013889 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (125430013927) 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, 499721046 + ... + 499721296.

Almost surely, 2^125430013921 is an apocalyptic number.

125430013921 is the 354161-st square number.

125430013921 is the 177081-st centered octagonal number.

It is an amenable number.

125430013921 is a deficient number, since it is larger than the sum of its proper divisors (9976378962).

125430013921 is an frugal number, since it uses more digits than its factorization.

125430013921 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 702 (or 351 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 31.

The spelling of 125430013921 in words is "one hundred twenty-five billion, four hundred thirty million, thirteen thousand, nine hundred twenty-one".