52301 has 2 divisors, whose sum is σ = 52302. Its totient is φ = 52300.

The previous prime is 52291. The next prime is 52313. The reversal of 52301 is 10325.

52301 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., 51076 + 1225 = 226^2 + 35^2 .

It is a cyclic number.

It is not a de Polignac number, because 52301 - 2⁶ = 52237 is a prime.

It is a Chen prime.

It is an alternating number because its digits alternate between odd and even.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (52321) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 26150 + 26151.

It is an arithmetic number, because the mean of its divisors is an integer number (26151).

2⁵²³⁰¹ is an apocalyptic number.

It is an amenable number.

52301 is a deficient number, since it is larger than the sum of its proper divisors (1).

52301 is an equidigital number, since it uses as much as digits as its factorization.

52301 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 30, while the sum is 11.

The square root of 52301 is about 228.6941188575. The cubic root of 52301 is about 37.3969913791.

Adding to 52301 its reverse (10325), we get a palindrome (62626).

It can be divided in two parts, 52 and 301, that added together give a palindrome (353).

The spelling of 52301 in words is "fifty-two thousand, three hundred one".