680131307 has 2 divisors, whose sum is σ = 680131308. Its totient is φ = 680131306.

The previous prime is 680131267. The next prime is 680131337. The reversal of 680131307 is 703131086.

It is a strong prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-680131307 is a prime.

It is equal to p_35276501 and since 680131307 and 35276501 have the same sum of digits, it is a Honaker prime.

It is a self number, because there is not a number n which added to its sum of digits gives 680131307.

It is not a weakly prime, because it can be changed into another prime (680131337) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 340065653 + 340065654.

It is an arithmetic number, because the mean of its divisors is an integer number (340065654).

Almost surely, 2^680131307 is an apocalyptic number.

680131307 is a deficient number, since it is larger than the sum of its proper divisors (1).

680131307 is an equidigital number, since it uses as much as digits as its factorization.

680131307 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3024, while the sum is 29.

The square root of 680131307 is about 26079.3271960762. The cubic root of 680131307 is about 879.4225322117.

The spelling of 680131307 in words is "six hundred eighty million, one hundred thirty-one thousand, three hundred seven".