2056516644317 has 2 divisors, whose sum is σ = 2056516644318. Its totient is φ = 2056516644316.

The previous prime is 2056516644311. The next prime is 2056516644319. The reversal of 2056516644317 is 7134466156502.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1836943804921 + 219572839396 = 1355339^2 + 468586^2 .

It is a cyclic number.

It is not a de Polignac number, because 2056516644317 - 2²⁶ = 2056449535453 is a prime.

Together with 2056516644319, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2056516644311) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1028258322158 + 1028258322159.

It is an arithmetic number, because the mean of its divisors is an integer number (1028258322159).

Almost surely, 2^{2056516644317} is an apocalyptic number.

It is an amenable number.

2056516644317 is a deficient number, since it is larger than the sum of its proper divisors (1).

2056516644317 is an equidigital number, since it uses as much as digits as its factorization.

2056516644317 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3628800, while the sum is 50.

The spelling of 2056516644317 in words is "two trillion, fifty-six billion, five hundred sixteen million, six hundred forty-four thousand, three hundred seventeen".