256525121525652 has 288 divisors, whose sum is σ = 775599712272000. Its totient is φ = 73108141747200.

The previous prime is 256525121525641. The next prime is 256525121525669.

256525121525652 is a `hidden beast` number, since 2 + 5 + 6 + 5 + 2 + 5 + 1 + 21 + 52 + 565 + 2 = 666.

256525121525652 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3518778402 + ... + 3518851302.

It is an arithmetic number, because the mean of its divisors is an integer number (2693054556500).

Almost surely, 2^{256525121525652} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 256525121525652, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (387799856136000).

256525121525652 is an abundant number, since it is smaller than the sum of its proper divisors (519074590746348).

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

256525121525652 is a wasteful number, since it uses less digits than its factorization.

256525121525652 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74596 (or 74581 counting only the distinct ones).

The product of its digits is 18000000, while the sum is 54.

The spelling of 256525121525652 in words is "two hundred fifty-six trillion, five hundred twenty-five billion, one hundred twenty-one million, five hundred twenty-five thousand, six hundred fifty-two".