25265044056252 has 576 divisors, whose sum is σ = 80805361287168. Its totient is φ = 5965464960000.

The previous prime is 25265044056251. The next prime is 25265044056277.

25265044056252 is nontrivially palindromic in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25265044056251) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3012401203 + ... + 3012409589.

It is an arithmetic number, because the mean of its divisors is an integer number (140287085568).

Almost surely, 2^{25265044056252} is an apocalyptic number.

25265044056252 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 25265044056252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40402680643584).

25265044056252 is an abundant number, since it is smaller than the sum of its proper divisors (55540317230916).

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

25265044056252 is a wasteful number, since it uses less digits than its factorization.

25265044056252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8730 (or 8715 counting only the distinct ones).

The product of its (nonzero) digits is 5760000, while the sum is 48.

The spelling of 25265044056252 in words is "twenty-five trillion, two hundred sixty-five billion, forty-four million, fifty-six thousand, two hundred fifty-two".