25517408967 has 8 divisors (see below), whose sum is σ = 37803568880. Its totient is φ = 17011605960.

The previous prime is 25517408957. The next prime is 25517408971. The reversal of 25517408967 is 76980471552.

25517408967 is a `hidden beast` number, since 2 + 5 + 517 + 40 + 89 + 6 + 7 = 666.

It is not a de Polignac number, because 25517408967 - 2²² = 25513214663 is a prime.

It is a super-2 number, since 2×25517408967² (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25517408947) 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 7 ways as a sum of consecutive naturals, for example, 472544584 + ... + 472544637.

It is an arithmetic number, because the mean of its divisors is an integer number (4725446110).

Almost surely, 2^25517408967 is an apocalyptic number.

25517408967 is a gapful number since it is divisible by the number (27) formed by its first and last digit.

25517408967 is a deficient number, since it is larger than the sum of its proper divisors (12286159913).

25517408967 is an equidigital number, since it uses as much as digits as its factorization.

25517408967 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 945089230 (or 945089224 counting only the distinct ones).

The product of its (nonzero) digits is 4233600, while the sum is 54.

The spelling of 25517408967 in words is "twenty-five billion, five hundred seventeen million, four hundred eight thousand, nine hundred sixty-seven".