256306566601 has 16 divisors (see below), whose sum is σ = 268594560000. Its totient is φ = 244250750016.

The previous prime is 256306566559. The next prime is 256306566617. The reversal of 256306566601 is 106665603652.

It is a cyclic number.

It is not a de Polignac number, because 256306566601 - 2⁷ = 256306566473 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (256306566001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7127695 + ... + 7163563.

It is an arithmetic number, because the mean of its divisors is an integer number (16787160000).

Almost surely, 2^256306566601 is an apocalyptic number.

It is an amenable number.

256306566601 is a deficient number, since it is larger than the sum of its proper divisors (12287993399).

256306566601 is a wasteful number, since it uses less digits than its factorization.

256306566601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39096.

The product of its (nonzero) digits is 1166400, while the sum is 46.

The spelling of 256306566601 in words is "two hundred fifty-six billion, three hundred six million, five hundred sixty-six thousand, six hundred one".