52021 has 2 divisors, whose sum is σ = 52022. Its totient is φ = 52020.

The previous prime is 52009. The next prime is 52027. The reversal of 52021 is 12025.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 44100 + 7921 = 210^2 + 89^2 .

It is a cyclic number.

It is not a de Polignac number, because 52021 - 2⁷ = 51893 is a prime.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 51989 and 52007.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (52027) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 26010 + 26011.

It is an arithmetic number, because the mean of its divisors is an integer number (26011).

2⁵²⁰²¹ is an apocalyptic number.

It is an amenable number.

52021 is a deficient number, since it is larger than the sum of its proper divisors (1).

52021 is an equidigital number, since it uses as much as digits as its factorization.

52021 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 20, while the sum is 10.

The square root of 52021 is about 228.0811259180. The cubic root of 52021 is about 37.3301354262.

Adding to 52021 its reverse (12025), we get a palindrome (64046).

The spelling of 52021 in words is "fifty-two thousand, twenty-one".