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2013821653 is a prime number
BaseRepresentation
bin111100000001000…
…0111101011010101
312012100100201222011
41320002013223111
513111014243103
6531455104221
7100622126104
oct17002075325
95170321864
102013821653
11943828018
12482512071
132612a655c
1415165603b
15bbbe2d6d
hex78087ad5

2013821653 has 2 divisors, whose sum is σ = 2013821654. Its totient is φ = 2013821652.

The previous prime is 2013821651. The next prime is 2013821657. The reversal of 2013821653 is 3561283102.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1948163044 + 65658609 = 44138^2 + 8103^2 .

It is a cyclic number.

It is not a de Polignac number, because 2013821653 - 21 = 2013821651 is a prime.

Together with 2013821651, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2013821651) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1006910826 + 1006910827.

It is an arithmetic number, because the mean of its divisors is an integer number (1006910827).

Almost surely, 22013821653 is an apocalyptic number.

It is an amenable number.

2013821653 is a deficient number, since it is larger than the sum of its proper divisors (1).

2013821653 is an equidigital number, since it uses as much as digits as its factorization.

2013821653 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8640, while the sum is 31.

The square root of 2013821653 is about 44875.6242630674. The cubic root of 2013821653 is about 1262.8167547923.

The spelling of 2013821653 in words is "two billion, thirteen million, eight hundred twenty-one thousand, six hundred fifty-three".