256516622740211 has 32 divisors (see below), whose sum is σ = 265131338908800. Its totient is φ = 248096353075200.

The previous prime is 256516622740187. The next prime is 256516622740223. The reversal of 256516622740211 is 112047226615652.

It is a de Polignac number, because none of the positive numbers 2^k-256516622740211 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 256516622740211.

It is not an unprimeable number, because it can be changed into a prime (256516622740291) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 415622495 + ... + 416239223.

It is an arithmetic number, because the mean of its divisors is an integer number (8285354340900).

Almost surely, 2^{256516622740211} is an apocalyptic number.

256516622740211 is a deficient number, since it is larger than the sum of its proper divisors (8614716168589).

256516622740211 is a wasteful number, since it uses less digits than its factorization.

256516622740211 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 617439.

The product of its (nonzero) digits is 2419200, while the sum is 50.

The spelling of 256516622740211 in words is "two hundred fifty-six trillion, five hundred sixteen billion, six hundred twenty-two million, seven hundred forty thousand, two hundred eleven".