256513504 has 48 divisors (see below), whose sum is σ = 545732208. Its totient is φ = 117983232.

The previous prime is 256513469. The next prime is 256513511. The reversal of 256513504 is 405315652.

256513504 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 143464 + ... + 145240.

It is an arithmetic number, because the mean of its divisors is an integer number (11369421).

Almost surely, 2^256513504 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 256513504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272866104).

256513504 is an abundant number, since it is smaller than the sum of its proper divisors (289218704).

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

256513504 is a wasteful number, since it uses less digits than its factorization.

256513504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2147 (or 2139 counting only the distinct ones).

The product of its (nonzero) digits is 18000, while the sum is 31.

The square root of 256513504 is about 16016.0389609916. The cubic root of 256513504 is about 635.3846876495.

The spelling of 256513504 in words is "two hundred fifty-six million, five hundred thirteen thousand, five hundred four".