25253264601 has 12 divisors (see below), whose sum is σ = 38622640212. Its totient is φ = 15845185536.

The previous prime is 25253264587. The next prime is 25253264651. The reversal of 25253264601 is 10646235252.

25253264601 is a `hidden beast` number, since 2 + 5 + 2 + 5 + 3 + 2 + 646 + 0 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 21096110025 + 4157154576 = 145245^2 + 64476^2 .

It is not a de Polignac number, because 25253264601 - 2¹⁰ = 25253263577 is a prime.

It is not an unprimeable number, because it can be changed into a prime (25253264651) 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 11 ways as a sum of consecutive naturals, for example, 82526856 + ... + 82527161.

It is an arithmetic number, because the mean of its divisors is an integer number (3218553351).

Almost surely, 2^25253264601 is an apocalyptic number.

It is an amenable number.

25253264601 is a deficient number, since it is larger than the sum of its proper divisors (13369375611).

25253264601 is a wasteful number, since it uses less digits than its factorization.

25253264601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165054040 (or 165054037 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

Adding to 25253264601 its reverse (10646235252), we get a palindrome (35899499853).

The spelling of 25253264601 in words is "twenty-five billion, two hundred fifty-three million, two hundred sixty-four thousand, six hundred one".