25260177106252 has 96 divisors (see below), whose sum is σ = 51330072729600. Its totient is φ = 10749505536000.

The previous prime is 25260177106243. The next prime is 25260177106261.

25260177106252 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (25260177106243) and next prime (25260177106261).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 666986877 + ... + 667024747.

It is an arithmetic number, because the mean of its divisors is an integer number (534688257600).

Almost surely, 2^{25260177106252} is an apocalyptic number.

25260177106252 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

25260177106252 is an abundant number, since it is smaller than the sum of its proper divisors (26069895623348).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

25260177106252 is a wasteful number, since it uses less digits than its factorization.

25260177106252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42583 (or 42581 counting only the distinct ones).

The product of its (nonzero) digits is 705600, while the sum is 46.

The spelling of 25260177106252 in words is "twenty-five trillion, two hundred sixty billion, one hundred seventy-seven million, one hundred six thousand, two hundred fifty-two".