503253 has 24 divisors (see below), whose sum is σ = 800800. Its totient is φ = 314928.

The previous prime is 503249. The next prime is 503267. The reversal of 503253 is 352305.

It is not a de Polignac number, because 503253 - 2² = 503249 is a prime.

It is a Duffinian number.

It is a Curzon number.

503253 is a lucky number.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 503253.

It is not an unprimeable number, because it can be changed into a prime (503213) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4563 + ... + 4671.

2⁵⁰³²⁵³ is an apocalyptic number.

It is an amenable number.

503253 is a deficient number, since it is larger than the sum of its proper divisors (297547).

503253 is a wasteful number, since it uses less digits than its factorization.

503253 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 450, while the sum is 18.

The square root of 503253 is about 709.4032703618. The cubic root of 503253 is about 79.5418078427.

Adding to 503253 its reverse (352305), we get a palindrome (855558).

It can be divided in two parts, 50325 and 3, that multiplied together give a triangular number (150975 = T₅₄₉).

The spelling of 503253 in words is "five hundred three thousand, two hundred fifty-three".