2056083638657 has 2 divisors, whose sum is σ = 2056083638658. Its totient is φ = 2056083638656.

The previous prime is 2056083638611. The next prime is 2056083638717. The reversal of 2056083638657 is 7568363806502.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1720166025601 + 335917613056 = 1311551^2 + 579584^2 .

It is a cyclic number.

It is not a de Polignac number, because 2056083638657 - 2¹⁰ = 2056083637633 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2056083638596 and 2056083638605.

It is not a weakly prime, because it can be changed into another prime (2056083638957) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1028041819328 + 1028041819329.

It is an arithmetic number, because the mean of its divisors is an integer number (1028041819329).

Almost surely, 2^{2056083638657} is an apocalyptic number.

It is an amenable number.

2056083638657 is a deficient number, since it is larger than the sum of its proper divisors (1).

2056083638657 is an equidigital number, since it uses as much as digits as its factorization.

2056083638657 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 43545600, while the sum is 59.

The spelling of 2056083638657 in words is "two trillion, fifty-six billion, eighty-three million, six hundred thirty-eight thousand, six hundred fifty-seven".