25458436249 has 9 divisors (see below), whose sum is σ = 26311279701. Its totient is φ = 24632409660.

The previous prime is 25458436181. The next prime is 25458436253. The reversal of 25458436249 is 94263485452.

The square root of 25458436249 is 159557.

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

It is not a de Polignac number, because 25458436249 - 2²³ = 25450047641 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 25458436196 and 25458436205.

It is not an unprimeable number, because it can be changed into a prime (25458436349) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 4943694 + ... + 4948840.

Almost surely, 2^25458436249 is an apocalyptic number.

25458436249 is the 159557-th square number.

25458436249 is the 79779-th centered octagonal number.

It is an amenable number.

25458436249 is a deficient number, since it is larger than the sum of its proper divisors (852843452).

25458436249 is an frugal number, since it uses more digits than its factorization.

25458436249 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10356 (or 5178 counting only the distinct ones).

The product of its digits is 8294400, while the sum is 52.

The spelling of 25458436249 in words is "twenty-five billion, four hundred fifty-eight million, four hundred thirty-six thousand, two hundred forty-nine".