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252379327217 is a prime number
BaseRepresentation
bin1110101100001011111…
…0101110101011110001
3220010102202020012110112
43223002332232223301
513113333101432332
6311535204511105
724143123612543
oct3530276565361
9803382205415
10252379327217
1198040606a86
1240ab53ab495
131aa50cba114
14c30280d693
156871b59db2
hex3ac2faeaf1

252379327217 has 2 divisors, whose sum is σ = 252379327218. Its totient is φ = 252379327216.

The previous prime is 252379327183. The next prime is 252379327229. The reversal of 252379327217 is 712723973252.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 252326387041 + 52940176 = 502321^2 + 7276^2 .

It is a cyclic number.

It is not a de Polignac number, because 252379327217 - 220 = 252378278641 is a prime.

It is not a weakly prime, because it can be changed into another prime (252379327117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 126189663608 + 126189663609.

It is an arithmetic number, because the mean of its divisors is an integer number (126189663609).

Almost surely, 2252379327217 is an apocalyptic number.

It is an amenable number.

252379327217 is a deficient number, since it is larger than the sum of its proper divisors (1).

252379327217 is an equidigital number, since it uses as much as digits as its factorization.

252379327217 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 2222640, while the sum is 50.

The spelling of 252379327217 in words is "two hundred fifty-two billion, three hundred seventy-nine million, three hundred twenty-seven thousand, two hundred seventeen".