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509483641 is a prime number
BaseRepresentation
bin11110010111100…
…001101001111001
31022111200110011111
4132113201221321
52020411434031
6122320000321
715424353022
oct3627415171
91274613144
10509483641
11241654667
121227600a1
1381725914
144b943c49
152eadd1b1
hex1e5e1a79

509483641 has 2 divisors, whose sum is σ = 509483642. Its totient is φ = 509483640.

The previous prime is 509483633. The next prime is 509483701. The reversal of 509483641 is 146384905.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 422919225 + 86564416 = 20565^2 + 9304^2 .

It is a cyclic number.

It is not a de Polignac number, because 509483641 - 23 = 509483633 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 509483594 and 509483603.

It is not a weakly prime, because it can be changed into another prime (509483341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 254741820 + 254741821.

It is an arithmetic number, because the mean of its divisors is an integer number (254741821).

Almost surely, 2509483641 is an apocalyptic number.

It is an amenable number.

509483641 is a deficient number, since it is larger than the sum of its proper divisors (1).

509483641 is an equidigital number, since it uses as much as digits as its factorization.

509483641 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 103680, while the sum is 40.

The square root of 509483641 is about 22571.7443056579. The cubic root of 509483641 is about 798.6872433700.

The spelling of 509483641 in words is "five hundred nine million, four hundred eighty-three thousand, six hundred forty-one".