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255041265217 is a prime number
BaseRepresentation
bin1110110110000110100…
…1001101111001000001
3220101022021010122220211
43231201221031321001
513134311030441332
6313055255234121
724266105661664
oct3554151157101
9811267118824
10255041265217
1199187166442
1241518978941
131b08663816b
14c4b61756db
15697a6c2447
hex3b61a4de41

255041265217 has 2 divisors, whose sum is σ = 255041265218. Its totient is φ = 255041265216.

The previous prime is 255041265187. The next prime is 255041265277. The reversal of 255041265217 is 712562140552.

It is a happy number.

255041265217 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., 128333031696 + 126708233521 = 358236^2 + 355961^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-255041265217 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 255041265217.

It is not a weakly prime, because it can be changed into another prime (255041265277) 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, 127520632608 + 127520632609.

It is an arithmetic number, because the mean of its divisors is an integer number (127520632609).

Almost surely, 2255041265217 is an apocalyptic number.

It is an amenable number.

255041265217 is a deficient number, since it is larger than the sum of its proper divisors (1).

255041265217 is an equidigital number, since it uses as much as digits as its factorization.

255041265217 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 168000, while the sum is 40.

The spelling of 255041265217 in words is "two hundred fifty-five billion, forty-one million, two hundred sixty-five thousand, two hundred seventeen".