256411777311 has 8 divisors (see below), whose sum is σ = 379869299760. Its totient is φ = 170941184856.

The previous prime is 256411777309. The next prime is 256411777313. The reversal of 256411777311 is 113777114652.

256411777311 is a `hidden beast` number, since 2 + 564 + 1 + 1 + 7 + 7 + 73 + 11 = 666.

It is an interprime number because it is at equal distance from previous prime (256411777309) and next prime (256411777313).

It is not a de Polignac number, because 256411777311 - 2¹ = 256411777309 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (256411777313) 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 7 ways as a sum of consecutive naturals, for example, 4748366220 + ... + 4748366273.

It is an arithmetic number, because the mean of its divisors is an integer number (47483662470).

Almost surely, 2^256411777311 is an apocalyptic number.

256411777311 is a deficient number, since it is larger than the sum of its proper divisors (123457522449).

256411777311 is an equidigital number, since it uses as much as digits as its factorization.

256411777311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9496732502 (or 9496732496 counting only the distinct ones).

The product of its digits is 246960, while the sum is 45.

The spelling of 256411777311 in words is "two hundred fifty-six billion, four hundred eleven million, seven hundred seventy-seven thousand, three hundred eleven".