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52809313 is a prime number
BaseRepresentation
bin1100100101110…
…0111001100001
310200100222202111
43021130321201
5102004344223
65123515321
71210605004
oct311347141
9120328674
1052809313
112789a467
1215828b41
13ac3001b
14702953b
15498230d
hex325ce61

52809313 has 2 divisors, whose sum is σ = 52809314. Its totient is φ = 52809312.

The previous prime is 52809277. The next prime is 52809329. The reversal of 52809313 is 31390825.

It is a happy number.

52809313 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 45535504 + 7273809 = 6748^2 + 2697^2 .

It is a cyclic number.

It is not a de Polignac number, because 52809313 - 29 = 52808801 is a prime.

It is not a weakly prime, because it can be changed into another prime (52809343) 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, 26404656 + 26404657.

It is an arithmetic number, because the mean of its divisors is an integer number (26404657).

Almost surely, 252809313 is an apocalyptic number.

It is an amenable number.

52809313 is a deficient number, since it is larger than the sum of its proper divisors (1).

52809313 is an equidigital number, since it uses as much as digits as its factorization.

52809313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6480, while the sum is 31.

The square root of 52809313 is about 7267.0016513002. The cubic root of 52809313 is about 375.1775467406.

The spelling of 52809313 in words is "fifty-two million, eight hundred nine thousand, three hundred thirteen".