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65505329 is a prime number
BaseRepresentation
bin1111100111100…
…0100000110001
311120021000102022
43321320200301
5113232132304
610300001225
71423533431
oct371704061
9146230368
1065505329
1133a8113a
1219b30215
1310756a66
1489b22c1
155b3debe
hex3e78831

65505329 has 2 divisors, whose sum is σ = 65505330. Its totient is φ = 65505328.

The previous prime is 65505283. The next prime is 65505347. The reversal of 65505329 is 92350556.

65505329 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., 44528929 + 20976400 = 6673^2 + 4580^2 .

It is a cyclic number.

It is not a de Polignac number, because 65505329 - 216 = 65439793 is a prime.

It is not a weakly prime, because it can be changed into another prime (65505379) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 32752664 + 32752665.

It is an arithmetic number, because the mean of its divisors is an integer number (32752665).

Almost surely, 265505329 is an apocalyptic number.

It is an amenable number.

65505329 is a deficient number, since it is larger than the sum of its proper divisors (1).

65505329 is an equidigital number, since it uses as much as digits as its factorization.

65505329 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 40500, while the sum is 35.

The square root of 65505329 is about 8093.5362481427. The cubic root of 65505329 is about 403.1118305815. Note that the first 3 decimals are identical.

The spelling of 65505329 in words is "sixty-five million, five hundred five thousand, three hundred twenty-nine".