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1006502209 is a prime number
BaseRepresentation
bin111011111111100…
…000000101000001
32121010220121110121
4323333200011001
54030131032314
6243512500241
733641061526
oct7377400501
92533817417
101006502209
11477165009
122410aa681
131306a594b
149796114d
155d567d24
hex3bfe0141

1006502209 has 2 divisors, whose sum is σ = 1006502210. Its totient is φ = 1006502208.

The previous prime is 1006502183. The next prime is 1006502243. The reversal of 1006502209 is 9022056001.

1006502209 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1003622400 + 2879809 = 31680^2 + 1697^2 .

It is a cyclic number.

It is not a de Polignac number, because 1006502209 - 211 = 1006500161 is a prime.

It is not a weakly prime, because it can be changed into another prime (1006505209) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 503251104 + 503251105.

It is an arithmetic number, because the mean of its divisors is an integer number (503251105).

Almost surely, 21006502209 is an apocalyptic number.

It is an amenable number.

1006502209 is a deficient number, since it is larger than the sum of its proper divisors (1).

1006502209 is an equidigital number, since it uses as much as digits as its factorization.

1006502209 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1080, while the sum is 25.

The square root of 1006502209 is about 31725.4189728048. The cubic root of 1006502209 is about 1002.1627222605.

The spelling of 1006502209 in words is "one billion, six million, five hundred two thousand, two hundred nine".