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2042653313 is a prime number
BaseRepresentation
bin111100111000000…
…0110101010000001
312021100121112120102
41321300012222001
513140404401223
6534405052145
7101422160321
oct17160065201
95240545512
102042653313
1195902a738
124900b7055
1326725c7cc
141553dd281
15be4da928
hex79c06a81

2042653313 has 2 divisors, whose sum is σ = 2042653314. Its totient is φ = 2042653312.

The previous prime is 2042653303. The next prime is 2042653363. The reversal of 2042653313 is 3133562402.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1110755584 + 931897729 = 33328^2 + 30527^2 .

It is a cyclic number.

It is not a de Polignac number, because 2042653313 - 24 = 2042653297 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 (2042653303) 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, 1021326656 + 1021326657.

It is an arithmetic number, because the mean of its divisors is an integer number (1021326657).

Almost surely, 22042653313 is an apocalyptic number.

It is an amenable number.

2042653313 is a deficient number, since it is larger than the sum of its proper divisors (1).

2042653313 is an equidigital number, since it uses as much as digits as its factorization.

2042653313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 12960, while the sum is 29.

The square root of 2042653313 is about 45195.7222865173. The cubic root of 2042653313 is about 1268.8147565191.

The spelling of 2042653313 in words is "two billion, forty-two million, six hundred fifty-three thousand, three hundred thirteen".