813085813 has 2 divisors, whose sum is σ = 813085814. Its totient is φ = 813085812.

The previous prime is 813085771. The next prime is 813085837. The reversal of 813085813 is 318580318.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 771895089 + 41190724 = 27783^2 + 6418^2 .

It is a cyclic number.

It is not a de Polignac number, because 813085813 - 2¹⁷ = 812954741 is a prime.

It is a super-2 number, since 2×813085813² = 1322217078603741938, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (813085613) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 406542906 + 406542907.

It is an arithmetic number, because the mean of its divisors is an integer number (406542907).

Almost surely, 2^813085813 is an apocalyptic number.

It is an amenable number.

813085813 is a deficient number, since it is larger than the sum of its proper divisors (1).

813085813 is an equidigital number, since it uses as much as digits as its factorization.

813085813 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 23040, while the sum is 37.

The square root of 813085813 is about 28514.6596157135. The cubic root of 813085813 is about 933.3519972317.

The spelling of 813085813 in words is "eight hundred thirteen million, eighty-five thousand, eight hundred thirteen".