256562265652 has 192 divisors, whose sum is σ = 574028034048. Its totient is φ = 97459200000.

The previous prime is 256562265611. The next prime is 256562265653.

256562265652 is nontrivially palindromic in base 10.

Its product of digits (12960000) is a multiple of the sum of its prime factors (750).

It is a self number, because there is not a number n which added to its sum of digits gives 256562265652.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (256562265653) 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 63 ways as a sum of consecutive naturals, for example, 906580303 + ... + 906580585.

It is an arithmetic number, because the mean of its divisors is an integer number (2989729344).

Almost surely, 2^256562265652 is an apocalyptic number.

256562265652 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 256562265652, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287014017024).

256562265652 is an abundant number, since it is smaller than the sum of its proper divisors (317465768396).

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

256562265652 is a wasteful number, since it uses less digits than its factorization.

256562265652 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 750 (or 748 counting only the distinct ones).

The product of its digits is 12960000, while the sum is 52.

The spelling of 256562265652 in words is "two hundred fifty-six billion, five hundred sixty-two million, two hundred sixty-five thousand, six hundred fifty-two".