52082321 has 2 divisors, whose sum is σ = 52082322. Its totient is φ = 52082320.

The previous prime is 52082311. The next prime is 52082323. The reversal of 52082321 is 12328025.

52082321 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., 41422096 + 10660225 = 6436^2 + 3265^2 .

It is a cyclic number.

It is not a de Polignac number, because 52082321 - 2¹⁰ = 52081297 is a prime.

Together with 52082323, it forms a pair of twin primes.

It is a Chen prime.

It is equal to p_3118505 and since 52082321 and 3118505 have the same sum of digits, it is a Honaker prime.

It is not a weakly prime, because it can be changed into another prime (52082323) 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, 26041160 + 26041161.

It is an arithmetic number, because the mean of its divisors is an integer number (26041161).

Almost surely, 2^52082321 is an apocalyptic number.

It is an amenable number.

52082321 is a deficient number, since it is larger than the sum of its proper divisors (1).

52082321 is an equidigital number, since it uses as much as digits as its factorization.

52082321 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 960, while the sum is 23.

The square root of 52082321 is about 7216.8082280188. The cubic root of 52082321 is about 373.4479759705.

The spelling of 52082321 in words is "fifty-two million, eighty-two thousand, three hundred twenty-one".