25766800957 has 2 divisors, whose sum is σ = 25766800958. Its totient is φ = 25766800956.

The previous prime is 25766800951. The next prime is 25766800967. The reversal of 25766800957 is 75900866752.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 18230130361 + 7536670596 = 135019^2 + 86814^2 .

It is a cyclic number.

It is not a de Polignac number, because 25766800957 - 2³ = 25766800949 is a prime.

It is a super-2 number, since 2×25766800957² (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 25766800898 and 25766800907.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (25766800951) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 12883400478 + 12883400479.

It is an arithmetic number, because the mean of its divisors is an integer number (12883400479).

Almost surely, 2^25766800957 is an apocalyptic number.

25766800957 is the 92677-th hex number.

It is an amenable number.

25766800957 is a deficient number, since it is larger than the sum of its proper divisors (1).

25766800957 is an equidigital number, since it uses as much as digits as its factorization.

25766800957 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6350400, while the sum is 55.

The spelling of 25766800957 in words is "twenty-five billion, seven hundred sixty-six million, eight hundred thousand, nine hundred fifty-seven".