813285582337 has 2 divisors, whose sum is σ = 813285582338. Its totient is φ = 813285582336.

The previous prime is 813285582301. The next prime is 813285582413. The reversal of 813285582337 is 733285582318.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 526670969841 + 286614612496 = 725721^2 + 535364^2 .

It is a cyclic number.

It is not a de Polignac number, because 813285582337 - 2²⁷ = 813151364609 is a prime.

It is a super-2 number, since 2×813285582337² (a number of 25 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (813285582937) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 406642791168 + 406642791169.

It is an arithmetic number, because the mean of its divisors is an integer number (406642791169).

Almost surely, 2^813285582337 is an apocalyptic number.

It is an amenable number.

813285582337 is a deficient number, since it is larger than the sum of its proper divisors (1).

813285582337 is an equidigital number, since it uses as much as digits as its factorization.

813285582337 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 9676800, while the sum is 55.

It can be divided in two parts, 81328 and 5582337, that added together give a palindrome (5663665).

The spelling of 813285582337 in words is "eight hundred thirteen billion, two hundred eighty-five million, five hundred eighty-two thousand, three hundred thirty-seven".