Search a number
-
+
813802083361 is a prime number
BaseRepresentation
bin10111101011110100110…
…00100101010000100001
32212210120021012012222021
423311322120211100201
5101313131313131421
61421504442541441
7112536526401061
oct13657230452041
92783507165867
10813802083361
1129414a073263
12111878807881
135b9835805c7
142b56143d3a1
151627ed7d341
hexbd7a625421

813802083361 has 2 divisors, whose sum is σ = 813802083362. Its totient is φ = 813802083360.

The previous prime is 813802083359. The next prime is 813802083383. The reversal of 813802083361 is 163380208318.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 762434580625 + 51367502736 = 873175^2 + 226644^2 .

It is a cyclic number.

It is not a de Polignac number, because 813802083361 - 21 = 813802083359 is a prime.

Together with 813802083359, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (813802083301) 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, 406901041680 + 406901041681.

It is an arithmetic number, because the mean of its divisors is an integer number (406901041681).

Almost surely, 2813802083361 is an apocalyptic number.

It is an amenable number.

813802083361 is a deficient number, since it is larger than the sum of its proper divisors (1).

813802083361 is an equidigital number, since it uses as much as digits as its factorization.

813802083361 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 165888, while the sum is 43.

The spelling of 813802083361 in words is "eight hundred thirteen billion, eight hundred two million, eighty-three thousand, three hundred sixty-one".