251020480256 has 216 divisors, whose sum is σ = 660747160080. Its totient is φ = 94077075456.

The previous prime is 251020480247. The next prime is 251020480331. The reversal of 251020480256 is 652084020152.

251020480256 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×251020480256² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3057860 + ... + 3138876.

It is an arithmetic number, because the mean of its divisors is an integer number (3059014630).

Almost surely, 2^251020480256 is an apocalyptic number.

251020480256 is a gapful number since it is divisible by the number (26) 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 251020480256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (330373580040).

251020480256 is an abundant number, since it is smaller than the sum of its proper divisors (409726679824).

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

251020480256 is a wasteful number, since it uses less digits than its factorization.

251020480256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81079 (or 81058 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 35.

The spelling of 251020480256 in words is "two hundred fifty-one billion, twenty million, four hundred eighty thousand, two hundred fifty-six".