25923254049 has 243 divisors, whose sum is σ = 52130693433. Its totient is φ = 12365337600.

The previous prime is 25923254047. The next prime is 25923254087. The reversal of 25923254049 is 94045232952.

The square root of 25923254049 is 161007.

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

25923254049 is a `hidden beast` number, since 2 + 5 + 9 + 232 + 5 + 404 + 9 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1826280225 + 24096973824 = 42735^2 + 155232^2 .

It is not a de Polignac number, because 25923254049 - 2¹ = 25923254047 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 25923253995 and 25923254013.

It is not an unprimeable number, because it can be changed into a prime (25923254041) by changing a digit.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 632274469 + ... + 632274509.

Almost surely, 2^25923254049 is an apocalyptic number.

25923254049 is the 161007-th square number.

25923254049 is the 80504-th centered octagonal number.

It is an amenable number.

25923254049 is an abundant number, since it is smaller than the sum of its proper divisors (26207439384).

25923254049 is a wasteful number, since it uses less digits than its factorization.

25923254049 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158 (or 79 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 45.

It can be divided in two parts, 25923 and 254049, that added together give a palindrome (279972).

The spelling of 25923254049 in words is "twenty-five billion, nine hundred twenty-three million, two hundred fifty-four thousand, forty-nine".