256439947201 has 9 divisors (see below), whose sum is σ = 257354200803. Its totient is φ = 255528935400.

The previous prime is 256439947193. The next prime is 256439947271. The reversal of 256439947201 is 102749934652.

The square root of 256439947201 is 506399.

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

256439947201 is digitally balanced in base 2, 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 only one way, i.e., 188224954801 + 68214992400 = 433849^2 + 261180^2 .

It is not a de Polignac number, because 256439947201 - 2³ = 256439947193 is a prime.

It is a super-2 number, since 2×256439947201² (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (256439947271) by changing a digit.

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 8 ways as a sum of consecutive naturals, for example, 176732526 + ... + 176733976.

Almost surely, 2^256439947201 is an apocalyptic number.

256439947201 is the 506399-th square number.

256439947201 is the 253200-th centered octagonal number.

It is an amenable number.

256439947201 is a deficient number, since it is larger than the sum of its proper divisors (914253602).

256439947201 is an frugal number, since it uses more digits than its factorization.

256439947201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3600 (or 1800 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 52.

The spelling of 256439947201 in words is "two hundred fifty-six billion, four hundred thirty-nine million, nine hundred forty-seven thousand, two hundred one".