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509039617 is a prime number
BaseRepresentation
bin11110010101110…
…101010000000001
31022110211220002011
4132111311100001
52020303231432
6122302252521
715420523342
oct3625652001
91273756064
10509039617
11241380aa9
12122587141
13815cb798
144b86a0c9
152ea51847
hex1e575401

509039617 has 2 divisors, whose sum is σ = 509039618. Its totient is φ = 509039616.

The previous prime is 509039593. The next prime is 509039651. The reversal of 509039617 is 716930905.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 388720656 + 120318961 = 19716^2 + 10969^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-509039617 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 509039617.

It is not a weakly prime, because it can be changed into another prime (509039717) 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, 254519808 + 254519809.

It is an arithmetic number, because the mean of its divisors is an integer number (254519809).

Almost surely, 2509039617 is an apocalyptic number.

It is an amenable number.

509039617 is a deficient number, since it is larger than the sum of its proper divisors (1).

509039617 is an equidigital number, since it uses as much as digits as its factorization.

509039617 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 51030, while the sum is 40.

The square root of 509039617 is about 22561.9063245994. The cubic root of 509039617 is about 798.4551525825.

The spelling of 509039617 in words is "five hundred nine million, thirty-nine thousand, six hundred seventeen".