52361 has 2 divisors, whose sum is σ = 52362. Its totient is φ = 52360.

The previous prime is 52321. The next prime is 52363. The reversal of 52361 is 16325.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 32761 + 19600 = 181^2 + 140^2 .

It is a cyclic number.

It is not a de Polignac number, because 52361 - 2¹⁴ = 35977 is a prime.

It is a Sophie Germain prime.

Together with 52363, it forms a pair of twin primes.

It is a Chen prime.

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

It is a Curzon number.

It is a plaindrome in base 13.

It is not a weakly prime, because it can be changed into another prime (52363) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 26180 + 26181.

It is an arithmetic number, because the mean of its divisors is an integer number (26181).

2⁵²³⁶¹ is an apocalyptic number.

It is an amenable number.

52361 is a deficient number, since it is larger than the sum of its proper divisors (1).

52361 is an equidigital number, since it uses as much as digits as its factorization.

52361 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 180, while the sum is 17.

The square root of 52361 is about 228.8252608433. The cubic root of 52361 is about 37.4112865933.

Adding to 52361 its reverse (16325), we get a palindrome (68686).

The spelling of 52361 in words is "fifty-two thousand, three hundred sixty-one".