10204056561593 has 2 divisors, whose sum is σ = 10204056561594. Its totient is φ = 10204056561592.

The previous prime is 10204056561499. The next prime is 10204056561659. The reversal of 10204056561593 is 39516565040201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 6248560082944 + 3955496478649 = 2499712^2 + 1988843^2 .

It is a cyclic number.

It is not a de Polignac number, because 10204056561593 - 2¹⁴ = 10204056545209 is a prime.

It is not a weakly prime, because it can be changed into another prime (10204056561893) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5102028280796 + 5102028280797.

It is an arithmetic number, because the mean of its divisors is an integer number (5102028280797).

Almost surely, 2^{10204056561593} is an apocalyptic number.

It is an amenable number.

10204056561593 is a deficient number, since it is larger than the sum of its proper divisors (1).

10204056561593 is an equidigital number, since it uses as much as digits as its factorization.

10204056561593 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 972000, while the sum is 47.

The spelling of 10204056561593 in words is "ten trillion, two hundred four billion, fifty-six million, five hundred sixty-one thousand, five hundred ninety-three".