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13115825857 is a prime number
BaseRepresentation
bin11000011011100001…
…11001111011000001
31020212001201222200001
430031300321323001
5203330122411412
610005245400001
7643010452231
oct141560717301
936761658601
1013115825857
1156205a6102
122660569001
131310396a04
148c5cb9cc1
1551b6d0957
hex30dc39ec1

13115825857 has 2 divisors, whose sum is σ = 13115825858. Its totient is φ = 13115825856.

The previous prime is 13115825819. The next prime is 13115825939. The reversal of 13115825857 is 75852851131.

13115825857 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 12456568881 + 659256976 = 111609^2 + 25676^2 .

It is a cyclic number.

It is not a de Polignac number, because 13115825857 - 223 = 13107437249 is a prime.

It is a super-2 number, since 2×131158258572 (a number of 21 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (13115885857) 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, 6557912928 + 6557912929.

It is an arithmetic number, because the mean of its divisors is an integer number (6557912929).

Almost surely, 213115825857 is an apocalyptic number.

It is an amenable number.

13115825857 is a deficient number, since it is larger than the sum of its proper divisors (1).

13115825857 is an equidigital number, since it uses as much as digits as its factorization.

13115825857 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 336000, while the sum is 46.

The spelling of 13115825857 in words is "thirteen billion, one hundred fifteen million, eight hundred twenty-five thousand, eight hundred fifty-seven".