53281 has 2 divisors, whose sum is σ = 53282. Its totient is φ = 53280.

The previous prime is 53279. The next prime is 53299. The reversal of 53281 is 18235.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 46225 + 7056 = 215^2 + 84^2 .

It is a cyclic number.

It is not a de Polignac number, because 53281 - 2¹ = 53279 is a prime.

It is a super-2 number, since 2×53281² = 5677729922, which contains 22 as substring.

Together with 53279, it forms a pair of twin primes.

It is a Chen prime.

It is a plaindrome in base 14.

It is not a weakly prime, because it can be changed into another prime (53201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 26640 + 26641.

It is an arithmetic number, because the mean of its divisors is an integer number (26641).

2⁵³²⁸¹ is an apocalyptic number.

It is an amenable number.

53281 is a deficient number, since it is larger than the sum of its proper divisors (1).

53281 is an equidigital number, since it uses as much as digits as its factorization.

53281 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 240, while the sum is 19.

The square root of 53281 is about 230.8267748767. The cubic root of 53281 is about 37.6291252380.

It can be divided in two parts, 5328 and 1, that added together give a square (5329 = 73²).

The spelling of 53281 in words is "fifty-three thousand, two hundred eighty-one".