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13325553361 is a prime number
BaseRepresentation
bin11000110100100001…
…11100111011010001
31021101200101020201101
430122100330323101
5204242320201421
610042140504401
7651135222541
oct143220747321
937350336641
1013325553361
115718a2251a
1226ba84b101
131344978823
14905ab1321
1552ed0c191
hex31a43ced1

13325553361 has 2 divisors, whose sum is σ = 13325553362. Its totient is φ = 13325553360.

The previous prime is 13325553349. The next prime is 13325553427. The reversal of 13325553361 is 16335552331.

13325553361 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., 13028852736 + 296700625 = 114144^2 + 17225^2 .

It is a cyclic number.

It is not a de Polignac number, because 13325553361 - 213 = 13325545169 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 13325553361.

It is not a weakly prime, because it can be changed into another prime (13325550361) 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, 6662776680 + 6662776681.

It is an arithmetic number, because the mean of its divisors is an integer number (6662776681).

Almost surely, 213325553361 is an apocalyptic number.

It is an amenable number.

13325553361 is a deficient number, since it is larger than the sum of its proper divisors (1).

13325553361 is an equidigital number, since it uses as much as digits as its factorization.

13325553361 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 121500, while the sum is 37.

The spelling of 13325553361 in words is "thirteen billion, three hundred twenty-five million, five hundred fifty-three thousand, three hundred sixty-one".