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2013053617 is a prime number
BaseRepresentation
bin111011111111100…
…1100001010110001
312012021220201102101
41313333030022301
513110320203432
6531430420401
7100612446661
oct16777141261
95167821371
102013053617
11943352a83
12482201701
13261097ab3
141514d61a1
15bbae04e7
hex77fcc2b1

2013053617 has 2 divisors, whose sum is σ = 2013053618. Its totient is φ = 2013053616.

The previous prime is 2013053597. The next prime is 2013053639. The reversal of 2013053617 is 7163503102.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1878702336 + 134351281 = 43344^2 + 11591^2 .

It is a cyclic number.

It is not a de Polignac number, because 2013053617 - 219 = 2012529329 is a prime.

It is not a weakly prime, because it can be changed into another prime (2013053017) 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, 1006526808 + 1006526809.

It is an arithmetic number, because the mean of its divisors is an integer number (1006526809).

Almost surely, 22013053617 is an apocalyptic number.

It is an amenable number.

2013053617 is a deficient number, since it is larger than the sum of its proper divisors (1).

2013053617 is an equidigital number, since it uses as much as digits as its factorization.

2013053617 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3780, while the sum is 28.

The square root of 2013053617 is about 44867.0660618677. The cubic root of 2013053617 is about 1262.6561957125.

Adding to 2013053617 its reverse (7163503102), we get a palindrome (9176556719).

The spelling of 2013053617 in words is "two billion, thirteen million, fifty-three thousand, six hundred seventeen".