25252525025253 has 48 divisors (see below), whose sum is σ = 39821951769600. Its totient is φ = 15947265452400.

The previous prime is 25252525025239. The next prime is 25252525025267. The reversal of 25252525025253 is 35252052525252.

25252525025253 is a `hidden beast` number, since 2 + 5 + 2 + 52 + 525 + 0 + 25 + 2 + 53 = 666.

It is an interprime number because it is at equal distance from previous prime (25252525025239) and next prime (25252525025267).

It is a de Polignac number, because none of the positive numbers 2^k-25252525025253 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 25252525025199 and 25252525025208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25252525025213) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 43810638 + ... + 44383296.

It is an arithmetic number, because the mean of its divisors is an integer number (829623995200).

Almost surely, 2^{25252525025253} is an apocalyptic number.

It is an amenable number.

25252525025253 is a deficient number, since it is larger than the sum of its proper divisors (14569426744347).

25252525025253 is an equidigital number, since it uses as much as digits as its factorization.

25252525025253 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 582244 (or 582232 counting only the distinct ones).

The product of its (nonzero) digits is 3000000, while the sum is 45.

The spelling of 25252525025253 in words is "twenty-five trillion, two hundred fifty-two billion, five hundred twenty-five million, twenty-five thousand, two hundred fifty-three".