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263318057329 is a prime number
BaseRepresentation
bin1111010100111011111…
…0101011000101110001
3221011200002101021012211
43311032332223011301
513303233410313304
6320544443452121
725011160362145
oct3651676530561
9834602337184
10263318057329
11a17441a68a8
1243048827041
131baa53117a2
14ca5d4d1225
156cb2145204
hex3d4efab171

263318057329 has 2 divisors, whose sum is σ = 263318057330. Its totient is φ = 263318057328.

The previous prime is 263318057323. The next prime is 263318057341. The reversal of 263318057329 is 923750813362.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 259541340304 + 3776717025 = 509452^2 + 61455^2 .

It is a cyclic number.

It is not a de Polignac number, because 263318057329 - 217 = 263317926257 is a prime.

It is a super-5 number, since 5×2633180573295 (a number of 58 digits) contains 55555 as substring. Note that it is a super-d number also for d = 2.

It is not a weakly prime, because it can be changed into another prime (263318057323) 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, 131659028664 + 131659028665.

It is an arithmetic number, because the mean of its divisors is an integer number (131659028665).

Almost surely, 2263318057329 is an apocalyptic number.

It is an amenable number.

263318057329 is a deficient number, since it is larger than the sum of its proper divisors (1).

263318057329 is an equidigital number, since it uses as much as digits as its factorization.

263318057329 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1632960, while the sum is 49.

The spelling of 263318057329 in words is "two hundred sixty-three billion, three hundred eighteen million, fifty-seven thousand, three hundred twenty-nine".