813813029 has 2 divisors, whose sum is σ = 813813030. Its totient is φ = 813813028.

The previous prime is 813812999. The next prime is 813813031. The reversal of 813813029 is 920318318.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 812136004 + 1677025 = 28498^2 + 1295^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-813813029 is a prime.

It is a Sophie Germain prime.

Together with 813813031, it forms a pair of twin primes.

It is a Chen prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 813813029.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (813813089) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 406906514 + 406906515.

It is an arithmetic number, because the mean of its divisors is an integer number (406906515).

Almost surely, 2^813813029 is an apocalyptic number.

It is an amenable number.

813813029 is a deficient number, since it is larger than the sum of its proper divisors (1).

813813029 is an equidigital number, since it uses as much as digits as its factorization.

813813029 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 10368, while the sum is 35.

The square root of 813813029 is about 28527.4083821156. The cubic root of 813813029 is about 933.6301746148.

The spelling of 813813029 in words is "eight hundred thirteen million, eight hundred thirteen thousand, twenty-nine".