813082822529 has 2 divisors, whose sum is σ = 813082822530. Its totient is φ = 813082822528.

The previous prime is 813082822373. The next prime is 813082822537. The reversal of 813082822529 is 925228280318.

813082822529 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 786724650625 + 26358171904 = 886975^2 + 162352^2 .

It is a cyclic number.

It is not a de Polignac number, because 813082822529 - 2²⁴ = 813066045313 is a prime.

It is a super-2 number, since 2×813082822529² (a number of 25 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (813082822579) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 406541411264 + 406541411265.

It is an arithmetic number, because the mean of its divisors is an integer number (406541411265).

Almost surely, 2^813082822529 is an apocalyptic number.

It is an amenable number.

813082822529 is a deficient number, since it is larger than the sum of its proper divisors (1).

813082822529 is an equidigital number, since it uses as much as digits as its factorization.

813082822529 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1105920, while the sum is 50.

The spelling of 813082822529 in words is "eight hundred thirteen billion, eighty-two million, eight hundred twenty-two thousand, five hundred twenty-nine".