813287256629 has 2 divisors, whose sum is σ = 813287256630. Its totient is φ = 813287256628.

The previous prime is 813287256571. The next prime is 813287256631. The reversal of 813287256629 is 926652782318.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 658938062500 + 154349194129 = 811750^2 + 392873^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-813287256629 is a prime.

It is a super-4 number, since 4×813287256629⁴ (a number of 49 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

Together with 813287256631, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (813287256029) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 406643628314 + 406643628315.

It is an arithmetic number, because the mean of its divisors is an integer number (406643628315).

Almost surely, 2^813287256629 is an apocalyptic number.

It is an amenable number.

813287256629 is a deficient number, since it is larger than the sum of its proper divisors (1).

813287256629 is an equidigital number, since it uses as much as digits as its factorization.

813287256629 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 17418240, while the sum is 59.

The spelling of 813287256629 in words is "eight hundred thirteen billion, two hundred eighty-seven million, two hundred fifty-six thousand, six hundred twenty-nine".