52901 has 2 divisors, whose sum is σ = 52902. Its totient is φ = 52900.

The previous prime is 52889. The next prime is 52903. The reversal of 52901 is 10925.

52901 is nontrivially palindromic in base 9.

It is a Cunningham number, because it is equal to 230²+1.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 52900 + 1 = 230^2 + 1^2 .

It is a cyclic number.

It is not a de Polignac number, because 52901 - 2⁶ = 52837 is a prime.

Together with 52903, 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 self number, because there is not a number n which added to its sum of digits gives 52901.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (52903) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 26450 + 26451.

It is an arithmetic number, because the mean of its divisors is an integer number (26451).

2⁵²⁹⁰¹ is an apocalyptic number.

It is an amenable number.

52901 is a deficient number, since it is larger than the sum of its proper divisors (1).

52901 is an equidigital number, since it uses as much as digits as its factorization.

52901 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 90, while the sum is 17.

The square root of 52901 is about 230.0021739028. The cubic root of 52901 is about 37.5394547703.

The spelling of 52901 in words is "fifty-two thousand, nine hundred one".