25617028257 has 6 divisors (see below), whose sum is σ = 37002374162. Its totient is φ = 17078018832.

The previous prime is 25617028183. The next prime is 25617028259. The reversal of 25617028257 is 75282071652.

25617028257 is a `hidden beast` number, since 2 + 5 + 617 + 0 + 2 + 8 + 25 + 7 = 666.

It can be written as a sum of positive squares in only one way, i.e., 25574726241 + 42302016 = 159921^2 + 6504^2 .

It is not a de Polignac number, because 25617028257 - 2²⁶ = 25549919393 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (25617028259) 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 5 ways as a sum of consecutive naturals, for example, 1423168228 + ... + 1423168245.

Almost surely, 2^25617028257 is an apocalyptic number.

It is an amenable number.

25617028257 is a deficient number, since it is larger than the sum of its proper divisors (11385345905).

25617028257 is a wasteful number, since it uses less digits than its factorization.

25617028257 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2846336479 (or 2846336476 counting only the distinct ones).

The product of its (nonzero) digits is 470400, while the sum is 45.

The spelling of 25617028257 in words is "twenty-five billion, six hundred seventeen million, twenty-eight thousand, two hundred fifty-seven".