680612137 has 2 divisors, whose sum is σ = 680612138. Its totient is φ = 680612136.

The previous prime is 680612131. The next prime is 680612171. The reversal of 680612137 is 731216086.

It is an a-pointer prime, because the next prime (680612171) can be obtained adding 680612137 to its sum of digits (34).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 515335401 + 165276736 = 22701^2 + 12856^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-680612137 is a prime.

It is not a weakly prime, because it can be changed into another prime (680612131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 340306068 + 340306069.

It is an arithmetic number, because the mean of its divisors is an integer number (340306069).

Almost surely, 2^680612137 is an apocalyptic number.

It is an amenable number.

680612137 is a deficient number, since it is larger than the sum of its proper divisors (1).

680612137 is an equidigital number, since it uses as much as digits as its factorization.

680612137 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 12096, while the sum is 34.

The square root of 680612137 is about 26088.5441717241. The cubic root of 680612137 is about 879.6297241286.

The spelling of 680612137 in words is "six hundred eighty million, six hundred twelve thousand, one hundred thirty-seven".