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2009332513 is a prime number
BaseRepresentation
bin111011111000011…
…1111101100100001
312012000220200000201
41313300333230201
513103342120023
6531214545201
7100536021166
oct16760775441
95160820021
102009332513
11941241291
12480b08201
13260394166
14150c0806d
15bb607bad
hex77c3fb21

2009332513 has 2 divisors, whose sum is σ = 2009332514. Its totient is φ = 2009332512.

The previous prime is 2009332489. The next prime is 2009332529. The reversal of 2009332513 is 3152339002.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1960009984 + 49322529 = 44272^2 + 7023^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-2009332513 is a prime.

It is not a weakly prime, because it can be changed into another prime (2009332543) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1004666256 + 1004666257.

It is an arithmetic number, because the mean of its divisors is an integer number (1004666257).

Almost surely, 22009332513 is an apocalyptic number.

It is an amenable number.

2009332513 is a deficient number, since it is larger than the sum of its proper divisors (1).

2009332513 is an equidigital number, since it uses as much as digits as its factorization.

2009332513 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4860, while the sum is 28.

The square root of 2009332513 is about 44825.5787804240. The cubic root of 2009332513 is about 1261.8777145399.

The spelling of 2009332513 in words is "two billion, nine million, three hundred thirty-two thousand, five hundred thirteen".