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65811329 is a prime number
BaseRepresentation
bin1111101100001…
…1001110000001
311120211120011122
43323003032001
5113321430304
610310322025
71426246523
oct373031601
9146746148
1065811329
1134170031
121a059315
131083311c
148a51a13
155b9e9be
hex3ec3381

65811329 has 2 divisors, whose sum is σ = 65811330. Its totient is φ = 65811328.

The previous prime is 65811293. The next prime is 65811331. The reversal of 65811329 is 92311856.

65811329 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

Together with previous prime (65811293) it forms an Ormiston pair, because they use the same digits, order apart.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 63170704 + 2640625 = 7948^2 + 1625^2 .

It is a cyclic number.

It is not a de Polignac number, because 65811329 - 212 = 65807233 is a prime.

It is a super-2 number, since 2×658113292 = 8662262049492482, which contains 22 as substring.

Together with 65811331, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (65811829) 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, 32905664 + 32905665.

It is an arithmetic number, because the mean of its divisors is an integer number (32905665).

Almost surely, 265811329 is an apocalyptic number.

It is an amenable number.

65811329 is a deficient number, since it is larger than the sum of its proper divisors (1).

65811329 is an equidigital number, since it uses as much as digits as its factorization.

65811329 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 12960, while the sum is 35.

The square root of 65811329 is about 8112.4181968141. The cubic root of 65811329 is about 403.7385513085.

The spelling of 65811329 in words is "sixty-five million, eight hundred eleven thousand, three hundred twenty-nine".