809830013 has 2 divisors, whose sum is σ = 809830014. Its totient is φ = 809830012.

The previous prime is 809829967. The next prime is 809830031. The reversal of 809830013 is 310038908.

809830013 = 20122² + 20123².

Together with next prime (809830031) it forms an Ormiston pair, because they use the same digits, order apart.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 404935129 + 404894884 = 20123^2 + 20122^2 .

It is a cyclic number.

It is not a de Polignac number, because 809830013 - 2⁶ = 809829949 is a prime.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (809830033) 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, 404915006 + 404915007.

It is an arithmetic number, because the mean of its divisors is an integer number (404915007).

Almost surely, 2^809830013 is an apocalyptic number.

809830013 is the 20123-rd centered square number.

It is an amenable number.

809830013 is a deficient number, since it is larger than the sum of its proper divisors (1).

809830013 is an equidigital number, since it uses as much as digits as its factorization.

809830013 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 809830013 is about 28457.5124176376. The cubic root of 809830013 is about 932.1045386892.

The spelling of 809830013 in words is "eight hundred nine million, eight hundred thirty thousand, thirteen".