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13535520329 is a prime number
BaseRepresentation
bin11001001101100011…
…11010011001001001
31021221022110200020202
430212301322121021
5210210043122304
610115041101545
7656265011252
oct144661723111
937838420222
1013535520329
1158164a2841
1227590278b5
131379312636
14925929b29
1554348481e
hex326c7a649

13535520329 has 2 divisors, whose sum is σ = 13535520330. Its totient is φ = 13535520328.

The previous prime is 13535520311. The next prime is 13535520389. The reversal of 13535520329 is 92302553531.

It is a happy number.

13535520329 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., 10363240000 + 3172280329 = 101800^2 + 56323^2 .

It is a cyclic number.

It is not a de Polignac number, because 13535520329 - 224 = 13518743113 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 13535520292 and 13535520301.

It is not a weakly prime, because it can be changed into another prime (13535520389) 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, 6767760164 + 6767760165.

It is an arithmetic number, because the mean of its divisors is an integer number (6767760165).

Almost surely, 213535520329 is an apocalyptic number.

It is an amenable number.

13535520329 is a deficient number, since it is larger than the sum of its proper divisors (1).

13535520329 is an equidigital number, since it uses as much as digits as its factorization.

13535520329 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 121500, while the sum is 38.

The spelling of 13535520329 in words is "thirteen billion, five hundred thirty-five million, five hundred twenty thousand, three hundred twenty-nine".