681413009 has 2 divisors, whose sum is σ = 681413010. Its totient is φ = 681413008.

The previous prime is 681412993. The next prime is 681413011. The reversal of 681413009 is 900314186.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 670654609 + 10758400 = 25897^2 + 3280^2 .

It is a cyclic number.

It is not a de Polignac number, because 681413009 - 2⁴ = 681412993 is a prime.

Together with 681413011, it forms a pair of twin primes.

It is a Chen prime.

It is equal to p_35339342 and since 681413009 and 35339342 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 (681413059) 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, 340706504 + 340706505.

It is an arithmetic number, because the mean of its divisors is an integer number (340706505).

Almost surely, 2^681413009 is an apocalyptic number.

It is an amenable number.

681413009 is a deficient number, since it is larger than the sum of its proper divisors (1).

681413009 is an equidigital number, since it uses as much as digits as its factorization.

681413009 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 32.

The square root of 681413009 is about 26103.8887715988. Note that the first 3 decimals coincide. The cubic root of 681413009 is about 879.9746071357.

The spelling of 681413009 in words is "six hundred eighty-one million, four hundred thirteen thousand, nine".