25025264001 has 72 divisors (see below), whose sum is σ = 39255731424. Its totient is φ = 15355422720.

The previous prime is 25025263981. The next prime is 25025264023. The reversal of 25025264001 is 10046252052.

25025264001 is a `hidden beast` number, since 2 + 5 + 0 + 252 + 6 + 400 + 1 = 666.

It is not a de Polignac number, because 25025264001 - 2¹³ = 25025255809 is a prime.

It is not an unprimeable number, because it can be changed into a prime (25025284001) 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 71 ways as a sum of consecutive naturals, for example, 28405081 + ... + 28405961.

It is an arithmetic number, because the mean of its divisors is an integer number (545218492).

Almost surely, 2^25025264001 is an apocalyptic number.

It is an amenable number.

25025264001 is a deficient number, since it is larger than the sum of its proper divisors (14230467423).

25025264001 is a wasteful number, since it uses less digits than its factorization.

25025264001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1151 (or 1131 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The spelling of 25025264001 in words is "twenty-five billion, twenty-five million, two hundred sixty-four thousand, one".