25524431813241 has 27 divisors (see below), whose sum is σ = 37670804067013. Its totient is φ = 16653774397560.

The previous prime is 25524431813213. The next prime is 25524431813261. The reversal of 25524431813241 is 14231813442552.

The square root of 25524431813241 is 5052171.

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

25524431813241 is a `hidden beast` number, since 2 + 5 + 5 + 2 + 4 + 4 + 318 + 1 + 324 + 1 = 666.

It is not a de Polignac number, because 25524431813241 - 2⁹ = 25524431812729 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (25524431813261) 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, 712338196 + ... + 712374026.

Almost surely, 2^{25524431813241} is an apocalyptic number.

25524431813241 is the 5052171-st square number.

25524431813241 is the 2526086-th centered octagonal number.

It is an amenable number.

25524431813241 is a deficient number, since it is larger than the sum of its proper divisors (12146372253772).

25524431813241 is an frugal number, since it uses more digits than its factorization.

25524431813241 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71762 (or 35881 counting only the distinct ones).

The product of its digits is 921600, while the sum is 45.

The spelling of 25524431813241 in words is "twenty-five trillion, five hundred twenty-four billion, four hundred thirty-one million, eight hundred thirteen thousand, two hundred forty-one".