1256328801 has 96 divisors (see below), whose sum is σ = 2305884672. Its totient is φ = 641571840.

The previous prime is 1256328779. The next prime is 1256328841. The reversal of 1256328801 is 1088236521.

It is a happy number.

1256328801 is a `hidden beast` number, since 1 + 256 + 328 + 80 + 1 = 666.

It is not a de Polignac number, because 1256328801 - 2⁵ = 1256328769 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1256328841) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 4470781 + ... + 4471061.

It is an arithmetic number, because the mean of its divisors is an integer number (24019632).

Almost surely, 2^1256328801 is an apocalyptic number.

It is an amenable number.

1256328801 is a deficient number, since it is larger than the sum of its proper divisors (1049555871).

1256328801 is a wasteful number, since it uses less digits than its factorization.

1256328801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 463 (or 460 counting only the distinct ones).

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

The square root of 1256328801 is about 35444.7288182601. The cubic root of 1256328801 is about 1079.0322838731.

The spelling of 1256328801 in words is "one billion, two hundred fifty-six million, three hundred twenty-eight thousand, eight hundred one".