680908601 has 2 divisors, whose sum is σ = 680908602. Its totient is φ = 680908600.

The previous prime is 680908577. The next prime is 680908609. The reversal of 680908601 is 106809086.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 566440000 + 114468601 = 23800^2 + 10699^2 .

It is a cyclic number.

It is not a de Polignac number, because 680908601 - 2²⁶ = 613799737 is a prime.

It is equal to p_35314598 and since 680908601 and 35314598 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 (680908609) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 340454300 + 340454301.

It is an arithmetic number, because the mean of its divisors is an integer number (340454301).

Almost surely, 2^680908601 is an apocalyptic number.

It is an amenable number.

680908601 is a deficient number, since it is larger than the sum of its proper divisors (1).

680908601 is an equidigital number, since it uses as much as digits as its factorization.

680908601 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 20736, while the sum is 38.

The square root of 680908601 is about 26094.2254339921. The cubic root of 680908601 is about 879.7574232384.

The spelling of 680908601 in words is "six hundred eighty million, nine hundred eight thousand, six hundred one".