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57305117 is a prime number
BaseRepresentation
bin1101101010011…
…0100000011101
310222211101211202
43122212200131
5104132230432
65404125245
71264041212
oct332464035
9128741752
1057305117
112a390201
1217236825
13bb4546c
147879b09
15506e462
hex36a681d

57305117 has 2 divisors, whose sum is σ = 57305118. Its totient is φ = 57305116.

The previous prime is 57305071. The next prime is 57305141. The reversal of 57305117 is 71150375.

57305117 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 42758521 + 14546596 = 6539^2 + 3814^2 .

It is a cyclic number.

It is not a de Polignac number, because 57305117 - 214 = 57288733 is a prime.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 57305117.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (57305917) 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, 28652558 + 28652559.

It is an arithmetic number, because the mean of its divisors is an integer number (28652559).

Almost surely, 257305117 is an apocalyptic number.

It is an amenable number.

57305117 is a deficient number, since it is larger than the sum of its proper divisors (1).

57305117 is an equidigital number, since it uses as much as digits as its factorization.

57305117 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3675, while the sum is 29.

The square root of 57305117 is about 7570.0143328794. The cubic root of 57305117 is about 385.5355833702.

The spelling of 57305117 in words is "fifty-seven million, three hundred five thousand, one hundred seventeen".