256260512 has 48 divisors (see below), whose sum is σ = 522669672. Its totient is φ = 123601920.

The previous prime is 256260493. The next prime is 256260523. The reversal of 256260512 is 215062652.

256260512 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 179452816 + 76807696 = 13396^2 + 8764^2 .

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, 102218 + ... + 104694.

Almost surely, 2^256260512 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 256260512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261334836).

256260512 is an abundant number, since it is smaller than the sum of its proper divisors (266409160).

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

256260512 is a wasteful number, since it uses less digits than its factorization.

256260512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2601 (or 2593 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 29.

The square root of 256260512 is about 16008.1389299319. The cubic root of 256260512 is about 635.1757316346.

The spelling of 256260512 in words is "two hundred fifty-six million, two hundred sixty thousand, five hundred twelve".