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827182851713 is a prime number
BaseRepresentation
bin11000000100101111111…
…00001010011010000001
32221002002210110200102022
430002113330022122001
5102023032302223323
61432000315131225
7113522235141401
oct14022774123201
92832083420368
10827182851713
112998961785a9
12114391a43b15
13600067bc10a
142c0705a4801
15167b49454c8
hexc097f0a681

827182851713 has 2 divisors, whose sum is σ = 827182851714. Its totient is φ = 827182851712.

The previous prime is 827182851689. The next prime is 827182851731. The reversal of 827182851713 is 317158281728.

Together with next prime (827182851731) it forms an Ormiston pair, because they use the same digits, order apart.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 706848792049 + 120334059664 = 840743^2 + 346892^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-827182851713 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (827182851763) 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, 413591425856 + 413591425857.

It is an arithmetic number, because the mean of its divisors is an integer number (413591425857).

Almost surely, 2827182851713 is an apocalyptic number.

It is an amenable number.

827182851713 is a deficient number, since it is larger than the sum of its proper divisors (1).

827182851713 is an equidigital number, since it uses as much as digits as its factorization.

827182851713 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1505280, while the sum is 53.

The spelling of 827182851713 in words is "eight hundred twenty-seven billion, one hundred eighty-two million, eight hundred fifty-one thousand, seven hundred thirteen".