15125479944201 has 81 divisors (see below), whose sum is σ = 24392295318573. Its totient is φ = 9025003603440.

The previous prime is 15125479944191. The next prime is 15125479944203. The reversal of 15125479944201 is 10244997452151.

It is a happy number.

The square root of 15125479944201 is 3889149.

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

15125479944201 is a `hidden beast` number, since 1 + 5 + 1 + 2 + 547 + 9 + 94 + 4 + 2 + 0 + 1 = 666.

15125479944201 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 15125479944201 - 2³³ = 15116890009609 is a prime.

It is not an unprimeable number, because it can be changed into a prime (15125479944203) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 8598907560 + ... + 8598909318.

Almost surely, 2^{15125479944201} is an apocalyptic number.

15125479944201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

15125479944201 is the 3889149-th square number.

15125479944201 is the 1944575-th centered octagonal number.

It is an amenable number.

15125479944201 is a deficient number, since it is larger than the sum of its proper divisors (9266815374372).

15125479944201 is an frugal number, since it uses more digits than its factorization.

15125479944201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3680 (or 1840 counting only the distinct ones).

The product of its (nonzero) digits is 3628800, while the sum is 54.

The spelling of 15125479944201 in words is "fifteen trillion, one hundred twenty-five billion, four hundred seventy-nine million, nine hundred forty-four thousand, two hundred one".