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813192013 is a prime number
BaseRepresentation
bin110000011110000…
…101001101001101
32002200011102201201
4300132011031031
53131134121023
6212405305501
726103006124
oct6036051515
92080142651
10813192013
11388031217
121a8405291
13cc62160a
147a000abb
154b5d0bad
hex3078534d

813192013 has 2 divisors, whose sum is σ = 813192014. Its totient is φ = 813192012.

The previous prime is 813192007. The next prime is 813192047. The reversal of 813192013 is 310291318.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 811851049 + 1340964 = 28493^2 + 1158^2 .

It is a cyclic number.

It is not a de Polignac number, because 813192013 - 221 = 811094861 is a prime.

It is a super-2 number, since 2×8131920132 = 1322562500013984338, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (813190013) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 406596006 + 406596007.

It is an arithmetic number, because the mean of its divisors is an integer number (406596007).

Almost surely, 2813192013 is an apocalyptic number.

It is an amenable number.

813192013 is a deficient number, since it is larger than the sum of its proper divisors (1).

813192013 is an equidigital number, since it uses as much as digits as its factorization.

813192013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1296, while the sum is 28.

The square root of 813192013 is about 28516.5217549406. The cubic root of 813192013 is about 933.3926315925.

The spelling of 813192013 in words is "eight hundred thirteen million, one hundred ninety-two thousand, thirteen".