813104009 has 2 divisors, whose sum is σ = 813104010. Its totient is φ = 813104008.

The previous prime is 813103961. The next prime is 813104011. The reversal of 813104009 is 900401318.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 810654784 + 2449225 = 28472^2 + 1565^2 .

It is a cyclic number.

It is not a de Polignac number, because 813104009 - 2²⁴ = 796326793 is a prime.

It is a super-2 number, since 2×813104009² = 1322276258903744162, which contains 22 as substring.

Together with 813104011, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (813104029) 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, 406552004 + 406552005.

It is an arithmetic number, because the mean of its divisors is an integer number (406552005).

Almost surely, 2^813104009 is an apocalyptic number.

It is an amenable number.

813104009 is a deficient number, since it is larger than the sum of its proper divisors (1).

813104009 is an equidigital number, since it uses as much as digits as its factorization.

813104009 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 864, while the sum is 26.

The square root of 813104009 is about 28514.9786778809. The cubic root of 813104009 is about 933.3589596564.

The spelling of 813104009 in words is "eight hundred thirteen million, one hundred four thousand, nine".