53301 has 8 divisors (see below), whose sum is σ = 72160. Its totient is φ = 34992.

The previous prime is 53299. The next prime is 53309. The reversal of 53301 is 10335.

It is a happy number.

53301 is a nontrivial binomial coefficient, being equal to C(327, 2).

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 53301 - 2¹ = 53299 is a prime.

It is a Duffinian number.

53301 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53309) 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 in 7 ways as a sum of consecutive naturals, for example, 246 + ... + 408.

It is an arithmetic number, because the mean of its divisors is an integer number (9020).

2⁵³³⁰¹ is an apocalyptic number.

53301 is the 326-th triangular number.

It is an amenable number.

53301 is a deficient number, since it is larger than the sum of its proper divisors (18859).

53301 is a wasteful number, since it uses less digits than its factorization.

53301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 275.

The product of its (nonzero) digits is 45, while the sum is 12.

The square root of 53301 is about 230.8700933426. The cubic root of 53301 is about 37.6338329096.

Adding to 53301 its reverse (10335), we get a palindrome (63636).

The spelling of 53301 in words is "fifty-three thousand, three hundred one".