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1005241009 is a prime number
BaseRepresentation
bin111011111010101…
…100001010110001
32121001112112102111
4323322230022301
54024320203014
6243425445321
733624256543
oct7372541261
92531475374
101005241009
114764834a3
122407a0841
13130353886
1497713693
155d3b92c4
hex3beac2b1

1005241009 has 2 divisors, whose sum is σ = 1005241010. Its totient is φ = 1005241008.

The previous prime is 1005241001. The next prime is 1005241019. The reversal of 1005241009 is 9001425001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 846984609 + 158256400 = 29103^2 + 12580^2 .

It is a cyclic number.

It is not a de Polignac number, because 1005241009 - 23 = 1005241001 is a prime.

It is not a weakly prime, because it can be changed into another prime (1005241001) 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, 502620504 + 502620505.

It is an arithmetic number, because the mean of its divisors is an integer number (502620505).

Almost surely, 21005241009 is an apocalyptic number.

It is an amenable number.

1005241009 is a deficient number, since it is larger than the sum of its proper divisors (1).

1005241009 is an equidigital number, since it uses as much as digits as its factorization.

1005241009 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 360, while the sum is 22.

The square root of 1005241009 is about 31705.5359361737. The cubic root of 1005241009 is about 1001.7439598361.

The spelling of 1005241009 in words is "one billion, five million, two hundred forty-one thousand, nine".