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13635332153 is a prime number
BaseRepresentation
bin11001011001011101…
…01010100000111001
31022012021021122022222
430230232222200321
5210411121112103
610133004253425
7661616260652
oct145456524071
938167248288
1013635332153
115867875953
122786541275
131393bbb5a1
14934cac529
1554c0ed638
hex32cbaa839

13635332153 has 2 divisors, whose sum is σ = 13635332154. Its totient is φ = 13635332152.

The previous prime is 13635332099. The next prime is 13635332203. The reversal of 13635332153 is 35123353631.

13635332153 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., 7634041129 + 6001291024 = 87373^2 + 77468^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-13635332153 is a prime.

It is not a weakly prime, because it can be changed into another prime (13635338153) 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, 6817666076 + 6817666077.

It is an arithmetic number, because the mean of its divisors is an integer number (6817666077).

Almost surely, 213635332153 is an apocalyptic number.

It is an amenable number.

13635332153 is a deficient number, since it is larger than the sum of its proper divisors (1).

13635332153 is an equidigital number, since it uses as much as digits as its factorization.

13635332153 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 72900, while the sum is 35.

Adding to 13635332153 its reverse (35123353631), we get a palindrome (48758685784).

The spelling of 13635332153 in words is "thirteen billion, six hundred thirty-five million, three hundred thirty-two thousand, one hundred fifty-three".