25564201641 has 16 divisors (see below), whose sum is σ = 41315881920. Its totient is φ = 15493455360.

The previous prime is 25564201609. The next prime is 25564201753. The reversal of 25564201641 is 14610246552.

25564201641 is a `hidden beast` number, since 2 + 5 + 5 + 6 + 4 + 2 + 0 + 1 + 641 = 666.

It is not a de Polignac number, because 25564201641 - 2⁵ = 25564201609 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 25564201596 and 25564201605.

It is not an unprimeable number, because it can be changed into a prime (25564201841) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 43037080 + ... + 43037673.

It is an arithmetic number, because the mean of its divisors is an integer number (2582242620).

Almost surely, 2^25564201641 is an apocalyptic number.

It is an amenable number.

25564201641 is a deficient number, since it is larger than the sum of its proper divisors (15751680279).

25564201641 is a wasteful number, since it uses less digits than its factorization.

25564201641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86074773 (or 86074767 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The spelling of 25564201641 in words is "twenty-five billion, five hundred sixty-four million, two hundred one thousand, six hundred forty-one".