6801056365681 has 2 divisors, whose sum is σ = 6801056365682. Its totient is φ = 6801056365680.

The previous prime is 6801056365613. The next prime is 6801056365687. The reversal of 6801056365681 is 1865636501086.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 6077211040000 + 723845325681 = 2465200^2 + 850791^2 .

It is a cyclic number.

It is not a de Polignac number, because 6801056365681 - 2²⁷ = 6800922147953 is a prime.

It is a super-2 number, since 2×6801056365681² (a number of 26 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (6801056365687) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 3400528182840 + 3400528182841.

It is an arithmetic number, because the mean of its divisors is an integer number (3400528182841).

Almost surely, 2^{6801056365681} is an apocalyptic number.

It is an amenable number.

6801056365681 is a deficient number, since it is larger than the sum of its proper divisors (1).

6801056365681 is an equidigital number, since it uses as much as digits as its factorization.

6801056365681 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6220800, while the sum is 55.

The spelling of 6801056365681 in words is "six trillion, eight hundred one billion, fifty-six million, three hundred sixty-five thousand, six hundred eighty-one".