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265853083217 is a prime number
BaseRepresentation
bin1111011110011000010…
…1000001111001010001
3221102012202110220222112
43313212011001321101
513323431342130332
6322044202115105
725131041631161
oct3674605017121
9842182426875
10265853083217
11a2825153317
12436357aba95
131c0ba5856c7
14cc2005c5a1
156dae98ddb2
hex3de6141e51

265853083217 has 2 divisors, whose sum is σ = 265853083218. Its totient is φ = 265853083216.

The previous prime is 265853083211. The next prime is 265853083229. The reversal of 265853083217 is 712380358562.

265853083217 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., 234930212416 + 30922870801 = 484696^2 + 175849^2 .

It is a cyclic number.

It is not a de Polignac number, because 265853083217 - 24 = 265853083201 is a prime.

It is not a weakly prime, because it can be changed into another prime (265853083211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 132926541608 + 132926541609.

It is an arithmetic number, because the mean of its divisors is an integer number (132926541609).

Almost surely, 2265853083217 is an apocalyptic number.

It is an amenable number.

265853083217 is a deficient number, since it is larger than the sum of its proper divisors (1).

265853083217 is an equidigital number, since it uses as much as digits as its factorization.

265853083217 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2419200, while the sum is 50.

The spelling of 265853083217 in words is "two hundred sixty-five billion, eight hundred fifty-three million, eighty-three thousand, two hundred seventeen".