813645331 has 2 divisors, whose sum is σ = 813645332. Its totient is φ = 813645330.

The previous prime is 813645319. The next prime is 813645337. The reversal of 813645331 is 133546318.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 813645331 - 2⁵ = 813645299 is a prime.

It is a super-3 number, since 3×813645331³ (a number of 28 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not a weakly prime, because it can be changed into another prime (813645337) 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, 406822665 + 406822666.

It is an arithmetic number, because the mean of its divisors is an integer number (406822666).

Almost surely, 2^813645331 is an apocalyptic number.

813645331 is a deficient number, since it is larger than the sum of its proper divisors (1).

813645331 is an equidigital number, since it uses as much as digits as its factorization.

813645331 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 25920, while the sum is 34.

The square root of 813645331 is about 28524.4689871696. The cubic root of 813645331 is about 933.5660408547.

The spelling of 813645331 in words is "eight hundred thirteen million, six hundred forty-five thousand, three hundred thirty-one".