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2008545313 is a prime number
BaseRepresentation
bin111011110110111…
…1111100000100001
312011222102200012011
41313231333200201
513103141422223
6531150032521
7100526232145
oct16755774041
95158380164
102008545313
11940853905
124807a8741
13260179a68
14150a81225
15bb4ee80d
hex77b7f821

2008545313 has 2 divisors, whose sum is σ = 2008545314. Its totient is φ = 2008545312.

The previous prime is 2008545277. The next prime is 2008545323. The reversal of 2008545313 is 3135458002.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1796318689 + 212226624 = 42383^2 + 14568^2 .

It is a cyclic number.

It is not a de Polignac number, because 2008545313 - 29 = 2008544801 is a prime.

It is not a weakly prime, because it can be changed into another prime (2008545323) 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, 1004272656 + 1004272657.

It is an arithmetic number, because the mean of its divisors is an integer number (1004272657).

Almost surely, 22008545313 is an apocalyptic number.

It is an amenable number.

2008545313 is a deficient number, since it is larger than the sum of its proper divisors (1).

2008545313 is an equidigital number, since it uses as much as digits as its factorization.

2008545313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 14400, while the sum is 31.

The square root of 2008545313 is about 44816.7972193462. The cubic root of 2008545313 is about 1261.7129036087.

The spelling of 2008545313 in words is "two billion, eight million, five hundred forty-five thousand, three hundred thirteen".