23259605121 has 27 divisors (see below), whose sum is σ = 34815541449. Its totient is φ = 14963159232.

The previous prime is 23259605101. The next prime is 23259605123. The reversal of 23259605121 is 12150695232.

It is a happy number.

The square root of 23259605121 is 152511.

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

23259605121 is a `hidden beast` number, since 2 + 3 + 25 + 9 + 605 + 1 + 21 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 7241159025 + 16018446096 = 85095^2 + 126564^2 .

It is not a de Polignac number, because 23259605121 - 2⁹ = 23259604609 is a prime.

It is not an unprimeable number, because it can be changed into a prime (23259605123) 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, 13267581 + ... + 13269333.

Almost surely, 2^23259605121 is an apocalyptic number.

23259605121 is the 152511-st square number.

23259605121 is the 76256-th centered octagonal number.

It is an amenable number.

23259605121 is a deficient number, since it is larger than the sum of its proper divisors (11555936328).

23259605121 is an frugal number, since it uses more digits than its factorization.

23259605121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3570 (or 1785 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

Multiplying 23259605121 by its sum of digits (36), we get a square (837345784356 = 915066²).

Multiplying 23259605121 by its product of nonzero digits (32400), we get a square (753611205920400 = 27451980²).

The spelling of 23259605121 in words is "twenty-three billion, two hundred fifty-nine million, six hundred five thousand, one hundred twenty-one".