25683588121 has 9 divisors (see below), whose sum is σ = 26301828501. Its totient is φ = 25079564412.

The previous prime is 25683588109. The next prime is 25683588149. The reversal of 25683588121 is 12188538652.

The square root of 25683588121 is 160261.

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

It is not a de Polignac number, because 25683588121 - 2⁹ = 25683587609 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (25683588521) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 6889360 + ... + 6893086.

It is an arithmetic number, because the mean of its divisors is an integer number (2922425389).

Almost surely, 2^25683588121 is an apocalyptic number.

25683588121 is the 160261-st square number.

25683588121 is the 80131-st centered octagonal number.

It is an amenable number.

25683588121 is a deficient number, since it is larger than the sum of its proper divisors (618240380).

25683588121 is an frugal number, since it uses more digits than its factorization.

25683588121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7540 (or 3770 counting only the distinct ones).

The product of its digits is 921600, while the sum is 49.

Multiplying 25683588121 by its sum of digits (49), we get a square (1258495817929 = 1121827²).

The spelling of 25683588121 in words is "twenty-five billion, six hundred eighty-three million, five hundred eighty-eight thousand, one hundred twenty-one".