682809393651857 has 2 divisors, whose sum is σ = 682809393651858. Its totient is φ = 682809393651856.

The previous prime is 682809393651839. The next prime is 682809393651863. The reversal of 682809393651857 is 758156393908286.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 351278457395776 + 331530936256081 = 18742424^2 + 18207991^2 .

It is a cyclic number.

It is not a de Polignac number, because 682809393651857 - 2⁶ = 682809393651793 is a prime.

It is a super-2 number, since 2×682809393651857² (a number of 30 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (682809393657857) 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, 341404696825928 + 341404696825929.

It is an arithmetic number, because the mean of its divisors is an integer number (341404696825929).

Almost surely, 2^{682809393651857} is an apocalyptic number.

It is an amenable number.

682809393651857 is a deficient number, since it is larger than the sum of its proper divisors (1).

682809393651857 is an equidigital number, since it uses as much as digits as its factorization.

682809393651857 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4702924800, while the sum is 80.

The spelling of 682809393651857 in words is "six hundred eighty-two trillion, eight hundred nine billion, three hundred ninety-three million, six hundred fifty-one thousand, eight hundred fifty-seven".