256680801 has 12 divisors (see below), whose sum is σ = 399281428. Its totient is φ = 157957344.

The previous prime is 256680799. The next prime is 256680811. The reversal of 256680801 is 108086652.

It is a happy number.

256680801 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 2 ways, for example, as 35712576 + 220968225 = 5976^2 + 14865^2 .

It is not a de Polignac number, because 256680801 - 2¹ = 256680799 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (256680811) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1096810 + ... + 1097043.

Almost surely, 2^256680801 is an apocalyptic number.

It is an amenable number.

256680801 is a deficient number, since it is larger than the sum of its proper divisors (142600627).

256680801 is a wasteful number, since it uses less digits than its factorization.

256680801 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2193872 (or 2193869 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 256680801 is about 16021.2609054344. The cubic root of 256680801 is about 635.5227893476.

The spelling of 256680801 in words is "two hundred fifty-six million, six hundred eighty thousand, eight hundred one".