680807201 has 2 divisors, whose sum is σ = 680807202. Its totient is φ = 680807200.

The previous prime is 680807159. The next prime is 680807203. The reversal of 680807201 is 102708086.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 612315025 + 68492176 = 24745^2 + 8276^2 .

It is a cyclic number.

It is not a de Polignac number, because 680807201 - 2⁶ = 680807137 is a prime.

It is a Sophie Germain prime.

Together with 680807203, it forms a pair of twin primes.

It is a Chen prime.

It is a Curzon number.

It is equal to p_35309633 and since 680807201 and 35309633 have the same sum of digits, it is a Honaker prime.

It is not a weakly prime, because it can be changed into another prime (680807203) 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, 340403600 + 340403601.

It is an arithmetic number, because the mean of its divisors is an integer number (340403601).

Almost surely, 2^680807201 is an apocalyptic number.

It is an amenable number.

680807201 is a deficient number, since it is larger than the sum of its proper divisors (1).

680807201 is an equidigital number, since it uses as much as digits as its factorization.

680807201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5376, while the sum is 32.

The square root of 680807201 is about 26092.2824030402. The cubic root of 680807201 is about 879.7137503034.

The spelling of 680807201 in words is "six hundred eighty million, eight hundred seven thousand, two hundred one".