680498257 has 2 divisors, whose sum is σ = 680498258. Its totient is φ = 680498256.

The previous prime is 680498251. The next prime is 680498303. The reversal of 680498257 is 752894086.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 680375056 + 123201 = 26084^2 + 351^2 .

It is a cyclic number.

It is not a de Polignac number, because 680498257 - 2¹⁹ = 679973969 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 680498257.

It is not a weakly prime, because it can be changed into another prime (680498251) 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, 340249128 + 340249129.

It is an arithmetic number, because the mean of its divisors is an integer number (340249129).

Almost surely, 2^680498257 is an apocalyptic number.

It is an amenable number.

680498257 is a deficient number, since it is larger than the sum of its proper divisors (1).

680498257 is an equidigital number, since it uses as much as digits as its factorization.

680498257 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 967680, while the sum is 49.

The square root of 680498257 is about 26086.3615132506. The cubic root of 680498257 is about 879.5806615201.

The spelling of 680498257 in words is "six hundred eighty million, four hundred ninety-eight thousand, two hundred fifty-seven".