52201 has 2 divisors, whose sum is σ = 52202. Its totient is φ = 52200.

The previous prime is 52189. The next prime is 52223. The reversal of 52201 is 10225.

52201 is nontrivially palindromic in base 6 and base 15.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 50176 + 2025 = 224^2 + 45^2 .

It is a cyclic number.

It is not a de Polignac number, because 52201 - 2¹¹ = 50153 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (52291) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 26100 + 26101.

It is an arithmetic number, because the mean of its divisors is an integer number (26101).

2⁵²²⁰¹ is an apocalyptic number.

52201 is the 145-th centered pentagonal number.

It is an amenable number.

52201 is a deficient number, since it is larger than the sum of its proper divisors (1).

52201 is an equidigital number, since it uses as much as digits as its factorization.

52201 is an evil number, because the sum of its binary digits is even.

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

The square root of 52201 is about 228.4753816060. The cubic root of 52201 is about 37.3731417069.

Adding to 52201 its reverse (10225), we get a palindrome (62426).

It can be divided in two parts, 52 and 201, that added together give a triangular number (253 = T₂₂).

The spelling of 52201 in words is "fifty-two thousand, two hundred one".