25635401253 has 48 divisors (see below), whose sum is σ = 46185165312. Its totient is φ = 13311540000.

The previous prime is 25635401221. The next prime is 25635401261. The reversal of 25635401253 is 35210453652.

25635401253 is a `hidden beast` number, since 2 + 5 + 63 + 540 + 1 + 2 + 53 = 666.

It is not a de Polignac number, because 25635401253 - 2⁵ = 25635401221 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25635401263) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2052678 + ... + 2065128.

It is an arithmetic number, because the mean of its divisors is an integer number (962190944).

Almost surely, 2^25635401253 is an apocalyptic number.

It is an amenable number.

25635401253 is a deficient number, since it is larger than the sum of its proper divisors (20549764059).

25635401253 is a wasteful number, since it uses less digits than its factorization.

25635401253 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15446 (or 15443 counting only the distinct ones).

The product of its (nonzero) digits is 108000, while the sum is 36.

The spelling of 25635401253 in words is "twenty-five billion, six hundred thirty-five million, four hundred one thousand, two hundred fifty-three".