25256608757 has 2 divisors, whose sum is σ = 25256608758. Its totient is φ = 25256608756.

The previous prime is 25256608723. The next prime is 25256608759. The reversal of 25256608757 is 75780665252.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 23910746161 + 1345862596 = 154631^2 + 36686^2 .

It is a cyclic number.

It is not a de Polignac number, because 25256608757 - 2²⁶ = 25189499893 is a prime.

It is a super-3 number, since 3×25256608757³ (a number of 32 digits) contains 333 as substring.

Together with 25256608759, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 25256608699 and 25256608708.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (25256608759) 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 as a sum of consecutive naturals, namely, 12628304378 + 12628304379.

It is an arithmetic number, because the mean of its divisors is an integer number (12628304379).

Almost surely, 2^25256608757 is an apocalyptic number.

It is an amenable number.

25256608757 is a deficient number, since it is larger than the sum of its proper divisors (1).

25256608757 is an equidigital number, since it uses as much as digits as its factorization.

25256608757 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 7056000, while the sum is 53.

The spelling of 25256608757 in words is "twenty-five billion, two hundred fifty-six million, six hundred eight thousand, seven hundred fifty-seven".