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17585163053 is a prime number
BaseRepresentation
bin10000011000001010…
…000100101100101101
31200101112120211201022
4100120022010230231
5242003300204203
612024543023525
71161530263643
oct203012045455
950345524638
1017585163053
117504403307
1234a929aba5
1318732c5933
14bcb6c3193
156cdc63a38
hex418284b2d

17585163053 has 2 divisors, whose sum is σ = 17585163054. Its totient is φ = 17585163052.

The previous prime is 17585163031. The next prime is 17585163059. The reversal of 17585163053 is 35036158571.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 15654263689 + 1930899364 = 125117^2 + 43942^2 .

It is a cyclic number.

It is not a de Polignac number, because 17585163053 - 210 = 17585162029 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 17585162995 and 17585163013.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (17585163059) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 8792581526 + 8792581527.

It is an arithmetic number, because the mean of its divisors is an integer number (8792581527).

Almost surely, 217585163053 is an apocalyptic number.

It is an amenable number.

17585163053 is a deficient number, since it is larger than the sum of its proper divisors (1).

17585163053 is an equidigital number, since it uses as much as digits as its factorization.

17585163053 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 378000, while the sum is 44.

The spelling of 17585163053 in words is "seventeen billion, five hundred eighty-five million, one hundred sixty-three thousand, fifty-three".