813088361 has 2 divisors, whose sum is σ = 813088362. Its totient is φ = 813088360.

The previous prime is 813088351. The next prime is 813088373. The reversal of 813088361 is 163880318.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 780140761 + 32947600 = 27931^2 + 5740^2 .

It is a cyclic number.

It is not a de Polignac number, because 813088361 - 2¹⁰ = 813087337 is a prime.

It is a super-2 number, since 2×813088361² = 1322225365587332642, which contains 22 as substring.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (813088321) 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, 406544180 + 406544181.

It is an arithmetic number, because the mean of its divisors is an integer number (406544181).

Almost surely, 2^813088361 is an apocalyptic number.

It is an amenable number.

813088361 is a deficient number, since it is larger than the sum of its proper divisors (1).

813088361 is an equidigital number, since it uses as much as digits as its factorization.

813088361 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 27648, while the sum is 38.

The square root of 813088361 is about 28514.7042944513. The cubic root of 813088361 is about 933.3529721916.

The spelling of 813088361 in words is "eight hundred thirteen million, eighty-eight thousand, three hundred sixty-one".