2116565204993 has 2 divisors, whose sum is σ = 2116565204994. Its totient is φ = 2116565204992.

The previous prime is 2116565204987. The next prime is 2116565205023. The reversal of 2116565204993 is 3994025656112.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1334644151824 + 781921053169 = 1155268^2 + 884263^2 .

It is a cyclic number.

It is not a de Polignac number, because 2116565204993 - 2¹⁶ = 2116565139457 is a prime.

It is a super-2 number, since 2×2116565204993² (a number of 25 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (2116565204953) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1058282602496 + 1058282602497.

It is an arithmetic number, because the mean of its divisors is an integer number (1058282602497).

Almost surely, 2^{2116565204993} is an apocalyptic number.

It is an amenable number.

2116565204993 is a deficient number, since it is larger than the sum of its proper divisors (1).

2116565204993 is an equidigital number, since it uses as much as digits as its factorization.

2116565204993 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 3499200, while the sum is 53.

The spelling of 2116565204993 in words is "two trillion, one hundred sixteen billion, five hundred sixty-five million, two hundred four thousand, nine hundred ninety-three".