682517058137 has 2 divisors, whose sum is σ = 682517058138. Its totient is φ = 682517058136.

The previous prime is 682517058127. The next prime is 682517058143. The reversal of 682517058137 is 731850715286.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 400238430736 + 282278627401 = 632644^2 + 531299^2 .

It is a cyclic number.

It is not a de Polignac number, because 682517058137 - 2²⁶ = 682449949273 is a prime.

It is not a weakly prime, because it can be changed into another prime (682517058127) 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, 341258529068 + 341258529069.

It is an arithmetic number, because the mean of its divisors is an integer number (341258529069).

Almost surely, 2^682517058137 is an apocalyptic number.

It is an amenable number.

682517058137 is a deficient number, since it is larger than the sum of its proper divisors (1).

682517058137 is an equidigital number, since it uses as much as digits as its factorization.

682517058137 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2822400, while the sum is 53.

The spelling of 682517058137 in words is "six hundred eighty-two billion, five hundred seventeen million, fifty-eight thousand, one hundred thirty-seven".