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252641565733 is a prime number
BaseRepresentation
bin1110101101001010011…
…1000101110000100101
3220011010000200022002011
43223102213011300211
513114402220100413
6312021213314221
724152456606404
oct3532247056045
9804100608064
10252641565733
1198165639727
1240b69195971
131aa9342623b
14c32959363b
156889baa33d
hex3ad29c5c25

252641565733 has 2 divisors, whose sum is σ = 252641565734. Its totient is φ = 252641565732.

The previous prime is 252641565703. The next prime is 252641565767. The reversal of 252641565733 is 337565146252.

It is a happy number.

252641565733 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 224465593284 + 28175972449 = 473778^2 + 167857^2 .

It is a cyclic number.

It is not a de Polignac number, because 252641565733 - 221 = 252639468581 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (252641565703) 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, 126320782866 + 126320782867.

It is an arithmetic number, because the mean of its divisors is an integer number (126320782867).

Almost surely, 2252641565733 is an apocalyptic number.

It is an amenable number.

252641565733 is a deficient number, since it is larger than the sum of its proper divisors (1).

252641565733 is an equidigital number, since it uses as much as digits as its factorization.

252641565733 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 4536000, while the sum is 49.

The spelling of 252641565733 in words is "two hundred fifty-two billion, six hundred forty-one million, five hundred sixty-five thousand, seven hundred thirty-three".