680900413 has 2 divisors, whose sum is σ = 680900414. Its totient is φ = 680900412.

The previous prime is 680900401. The next prime is 680900449. The reversal of 680900413 is 314009086.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 497379204 + 183521209 = 22302^2 + 13547^2 .

It is a cyclic number.

It is not a de Polignac number, because 680900413 - 2²⁵ = 647345981 is a prime.

It is equal to p_35314195 and since 680900413 and 35314195 have the same sum of digits, it is a Honaker prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (680900453) 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, 340450206 + 340450207.

It is an arithmetic number, because the mean of its divisors is an integer number (340450207).

Almost surely, 2^680900413 is an apocalyptic number.

It is an amenable number.

680900413 is a deficient number, since it is larger than the sum of its proper divisors (1).

680900413 is an equidigital number, since it uses as much as digits as its factorization.

680900413 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5184, while the sum is 31.

The square root of 680900413 is about 26094.0685405707. The cubic root of 680900413 is about 879.7538968314.

Adding to 680900413 its reverse (314009086), we get a palindrome (994909499).

The spelling of 680900413 in words is "six hundred eighty million, nine hundred thousand, four hundred thirteen".