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509928401 is a prime number
BaseRepresentation
bin11110011001001…
…110001111010001
31022112112001021002
4132121032033101
52021020202101
6122333311345
715431214503
oct3631161721
91275461232
10509928401
11241928834
12122935555
13818501a8
144ba1bd73
152eb79d6b
hex1e64e3d1

509928401 has 2 divisors, whose sum is σ = 509928402. Its totient is φ = 509928400.

The previous prime is 509928389. The next prime is 509928421. The reversal of 509928401 is 104829905.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 322238401 + 187690000 = 17951^2 + 13700^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-509928401 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (509928421) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 254964200 + 254964201.

It is an arithmetic number, because the mean of its divisors is an integer number (254964201).

Almost surely, 2509928401 is an apocalyptic number.

It is an amenable number.

509928401 is a deficient number, since it is larger than the sum of its proper divisors (1).

509928401 is an equidigital number, since it uses as much as digits as its factorization.

509928401 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 25920, while the sum is 38.

The square root of 509928401 is about 22581.5942971261. The cubic root of 509928401 is about 798.9195837202.

The spelling of 509928401 in words is "five hundred nine million, nine hundred twenty-eight thousand, four hundred one".