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13633532057 is a prime number
BaseRepresentation
bin11001011001001111…
…10011000010011001
31022012010220012001202
430230213303002121
5210410141011212
610132501523545
7661565052605
oct145447630231
938163805052
1013633532057
115866856472
122785a135b5
13139370b142
14934960505
1554bd950c2
hex32c9f3099

13633532057 has 2 divisors, whose sum is σ = 13633532058. Its totient is φ = 13633532056.

The previous prime is 13633532039. The next prime is 13633532123. The reversal of 13633532057 is 75023533631.

It is a happy number.

13633532057 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., 13551520921 + 82011136 = 116411^2 + 9056^2 .

It is an emirp because it is prime and its reverse (75023533631) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 13633532057 - 28 = 13633531801 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 13633532057.

It is not a weakly prime, because it can be changed into another prime (13633532357) 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, 6816766028 + 6816766029.

It is an arithmetic number, because the mean of its divisors is an integer number (6816766029).

Almost surely, 213633532057 is an apocalyptic number.

It is an amenable number.

13633532057 is a deficient number, since it is larger than the sum of its proper divisors (1).

13633532057 is an equidigital number, since it uses as much as digits as its factorization.

13633532057 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 170100, while the sum is 38.

The spelling of 13633532057 in words is "thirteen billion, six hundred thirty-three million, five hundred thirty-two thousand, fifty-seven".