680856599808041 has 2 divisors, whose sum is σ = 680856599808042. Its totient is φ = 680856599808040.

The previous prime is 680856599807981. The next prime is 680856599808061. The reversal of 680856599808041 is 140808995658086.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 492662238432016 + 188194361376025 = 22195996^2 + 13718395^2 .

It is a cyclic number.

It is not a de Polignac number, because 680856599808041 - 2¹⁸ = 680856599545897 is a prime.

It is not a weakly prime, because it can be changed into another prime (680856599808061) 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, 340428299904020 + 340428299904021.

It is an arithmetic number, because the mean of its divisors is an integer number (340428299904021).

Almost surely, 2^{680856599808041} is an apocalyptic number.

It is an amenable number.

680856599808041 is a deficient number, since it is larger than the sum of its proper divisors (1).

680856599808041 is an equidigital number, since it uses as much as digits as its factorization.

680856599808041 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1194393600, while the sum is 77.

The spelling of 680856599808041 in words is "six hundred eighty trillion, eight hundred fifty-six billion, five hundred ninety-nine million, eight hundred eight thousand, forty-one".