685968013 has 2 divisors, whose sum is σ = 685968014. Its totient is φ = 685968012.

The previous prime is 685967999. The next prime is 685968053. The reversal of 685968013 is 310869586.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 545829769 + 140138244 = 23363^2 + 11838^2 .

It is a cyclic number.

It is not a de Polignac number, because 685968013 - 2⁹ = 685967501 is a prime.

It is a super-2 number, since 2×685968013² = 941104229718336338, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (685968053) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 342984006 + 342984007.

It is an arithmetic number, because the mean of its divisors is an integer number (342984007).

Almost surely, 2^685968013 is an apocalyptic number.

It is an amenable number.

685968013 is a deficient number, since it is larger than the sum of its proper divisors (1).

685968013 is an equidigital number, since it uses as much as digits as its factorization.

685968013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 311040, while the sum is 46.

The square root of 685968013 is about 26190.9910656317. The cubic root of 685968013 is about 881.9310268580.

The spelling of 685968013 in words is "six hundred eighty-five million, nine hundred sixty-eight thousand, thirteen".