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13277568257 is a prime number
BaseRepresentation
bin11000101110110011…
…11001110100000001
31021021100002100112022
430113121321310001
5204143024141012
610033304211225
7650013316352
oct142731716401
937240070468
1013277568257
1156a3928608
1226a6769b15
131337a47585
148dd57dd29
1552a9ce472
hex317679d01

13277568257 has 2 divisors, whose sum is σ = 13277568258. Its totient is φ = 13277568256.

The previous prime is 13277568247. The next prime is 13277568263. The reversal of 13277568257 is 75286577231.

13277568257 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8617594561 + 4659973696 = 92831^2 + 68264^2 .

It is an emirp because it is prime and its reverse (75286577231) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 13277568257 - 28 = 13277568001 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 13277568199 and 13277568208.

It is not a weakly prime, because it can be changed into another prime (13277568247) 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, 6638784128 + 6638784129.

It is an arithmetic number, because the mean of its divisors is an integer number (6638784129).

Almost surely, 213277568257 is an apocalyptic number.

It is an amenable number.

13277568257 is a deficient number, since it is larger than the sum of its proper divisors (1).

13277568257 is an equidigital number, since it uses as much as digits as its factorization.

13277568257 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 4939200, while the sum is 53.

The spelling of 13277568257 in words is "thirteen billion, two hundred seventy-seven million, five hundred sixty-eight thousand, two hundred fifty-seven".