256509835024 has 45 divisors (see below), whose sum is σ = 506753980383. Its totient is φ = 125782340736.

The previous prime is 256509835019. The next prime is 256509835031. The reversal of 256509835024 is 420538905652.

The square root of 256509835024 is 506468.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 910832400 + 255599002624 = 30180^2 + 505568^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 107370022 + ... + 107372410.

Almost surely, 2^256509835024 is an apocalyptic number.

256509835024 is the 506468-th square number.

It is an amenable number.

256509835024 is a deficient number, since it is larger than the sum of its proper divisors (250244145359).

256509835024 is an frugal number, since it uses more digits than its factorization.

256509835024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4892 (or 2444 counting only the distinct ones).

The product of its (nonzero) digits is 2592000, while the sum is 49.

Multiplying 256509835024 by its sum of digits (49), we get a square (12568981916176 = 3545276²).

The spelling of 256509835024 in words is "two hundred fifty-six billion, five hundred nine million, eight hundred thirty-five thousand, twenty-four".