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53085821 is a prime number
BaseRepresentation
bin1100101010000…
…0011001111101
310200220001001112
43022200121331
5102042221241
65133451405
71213136105
oct312403175
9120801045
1053085821
1127a69188
1215940b65
13acc8b39
14709c205
1549d91eb
hex32a067d

53085821 has 2 divisors, whose sum is σ = 53085822. Its totient is φ = 53085820.

The previous prime is 53085811. The next prime is 53085841. The reversal of 53085821 is 12858035.

It is a happy number.

53085821 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., 53085796 + 25 = 7286^2 + 5^2 .

It is a cyclic number.

It is not a de Polignac number, because 53085821 - 26 = 53085757 is a prime.

It is a Sophie Germain prime.

It is a Chen prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (53085811) 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, 26542910 + 26542911.

It is an arithmetic number, because the mean of its divisors is an integer number (26542911).

Almost surely, 253085821 is an apocalyptic number.

It is an amenable number.

53085821 is a deficient number, since it is larger than the sum of its proper divisors (1).

53085821 is an equidigital number, since it uses as much as digits as its factorization.

53085821 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 9600, while the sum is 32.

The square root of 53085821 is about 7286.0017156188. The cubic root of 53085821 is about 375.8312133821.

The spelling of 53085821 in words is "fifty-three million, eighty-five thousand, eight hundred twenty-one".