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2013514313 is a prime number
BaseRepresentation
bin111100000000011…
…1100101001001001
312012022210010101012
41320000330221021
513110424424223
6531444333305
7100616406056
oct17000745111
95168703335
102013514313
11943638118
124823a4235
132611c96b5
141515b602d
15bbb81c78
hex7803ca49

2013514313 has 2 divisors, whose sum is σ = 2013514314. Its totient is φ = 2013514312.

The previous prime is 2013514273. The next prime is 2013514319. The reversal of 2013514313 is 3134153102.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1211944969 + 801569344 = 34813^2 + 28312^2 .

It is a cyclic number.

It is not a de Polignac number, because 2013514313 - 28 = 2013514057 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (2013514319) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1006757156 + 1006757157.

It is an arithmetic number, because the mean of its divisors is an integer number (1006757157).

Almost surely, 22013514313 is an apocalyptic number.

It is an amenable number.

2013514313 is a deficient number, since it is larger than the sum of its proper divisors (1).

2013514313 is an equidigital number, since it uses as much as digits as its factorization.

2013514313 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 23.

The square root of 2013514313 is about 44872.1997789277. The cubic root of 2013514313 is about 1262.7525098038.

Adding to 2013514313 its reverse (3134153102), we get a palindrome (5147667415).

The spelling of 2013514313 in words is "two billion, thirteen million, five hundred fourteen thousand, three hundred thirteen".