25517312901 has 16 divisors (see below), whose sum is σ = 39447054720. Its totient is φ = 16271909280.

The previous prime is 25517312869. The next prime is 25517312929. The reversal of 25517312901 is 10921371552.

25517312901 is a `hidden beast` number, since 2 + 551 + 7 + 3 + 12 + 90 + 1 = 666.

It is not a de Polignac number, because 25517312901 - 2⁵ = 25517312869 is a prime.

It is a super-2 number, since 2×25517312901² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25517312971) 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 15 ways as a sum of consecutive naturals, for example, 20544720 + ... + 20545961.

It is an arithmetic number, because the mean of its divisors is an integer number (2465440920).

Almost surely, 2^25517312901 is an apocalyptic number.

It is an amenable number.

25517312901 is a deficient number, since it is larger than the sum of its proper divisors (13929741819).

25517312901 is a wasteful number, since it uses less digits than its factorization.

25517312901 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41090713 (or 41090707 counting only the distinct ones).

The product of its (nonzero) digits is 18900, while the sum is 36.

The spelling of 25517312901 in words is "twenty-five billion, five hundred seventeen million, three hundred twelve thousand, nine hundred one".