52003 has 16 divisors (see below), whose sum is σ = 69120. Its totient is φ = 38016.

The previous prime is 51991. The next prime is 52009. The reversal of 52003 is 30025.

52003 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

52003 is a nontrivial binomial coefficient, being equal to C(323, 2).

It is a cyclic number.

It is not a de Polignac number, because 52003 - 2⁵ = 51971 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (52009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2250 + ... + 2272.

It is an arithmetic number, because the mean of its divisors is an integer number (4320).

2⁵²⁰⁰³ is an apocalyptic number.

52003 is the 322-nd triangular number.

52003 is the 108-th centered nonagonal number.

52003 is a deficient number, since it is larger than the sum of its proper divisors (17117).

52003 is a wasteful number, since it uses less digits than its factorization.

52003 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66.

The product of its (nonzero) digits is 30, while the sum is 10.

The square root of 52003 is about 228.0416628601. The cubic root of 52003 is about 37.3258293450.

Adding to 52003 its reverse (30025), we get a palindrome (82028).

The spelling of 52003 in words is "fifty-two thousand, three".