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1327253764097 is a prime number
BaseRepresentation
bin10011010100000110011…
…111010011100000000001
311200212212121010010011102
4103110012133103200001
5133221203430422342
62453422034224145
7164614404564512
oct23240637234001
94625777103142
101327253764097
1147198116a578
12195292725055
139820c537a81
144834cda6a09
15247d18d4832
hex135067d3801

1327253764097 has 2 divisors, whose sum is σ = 1327253764098. Its totient is φ = 1327253764096.

The previous prime is 1327253764087. The next prime is 1327253764121. The reversal of 1327253764097 is 7904673527231.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1197308654656 + 129945109441 = 1094216^2 + 360479^2 .

It is a cyclic number.

It is not a de Polignac number, because 1327253764097 - 220 = 1327252715521 is a prime.

It is not a weakly prime, because it can be changed into another prime (1327253764087) 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, 663626882048 + 663626882049.

It is an arithmetic number, because the mean of its divisors is an integer number (663626882049).

Almost surely, 21327253764097 is an apocalyptic number.

It is an amenable number.

1327253764097 is a deficient number, since it is larger than the sum of its proper divisors (1).

1327253764097 is an equidigital number, since it uses as much as digits as its factorization.

1327253764097 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 13335840, while the sum is 56.

The spelling of 1327253764097 in words is "one trillion, three hundred twenty-seven billion, two hundred fifty-three million, seven hundred sixty-four thousand, ninety-seven".