506253 has 24 divisors (see below), whose sum is σ = 796320. Its totient is φ = 283360.

The previous prime is 506251. The next prime is 506263. The reversal of 506253 is 352605.

It is not a de Polignac number, because 506253 - 2¹ = 506251 is a prime.

It is a hoax number, since the sum of its digits (21) coincides with the sum of the digits of its distinct prime factors.

It is a Curzon 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 506253.

It is not an unprimeable number, because it can be changed into a prime (506251) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17443 + ... + 17471.

It is an arithmetic number, because the mean of its divisors is an integer number (33180).

2⁵⁰⁶²⁵³ is an apocalyptic number.

It is an amenable number.

506253 is a deficient number, since it is larger than the sum of its proper divisors (290067).

506253 is a wasteful number, since it uses less digits than its factorization.

506253 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 21.

The square root of 506253 is about 711.5145817199. The cubic root of 506253 is about 79.6995501193.

Adding to 506253 its reverse (352605), we get a palindrome (858858).

It can be divided in two parts, 5062 and 53, that added together give a palindrome (5115).

The spelling of 506253 in words is "five hundred six thousand, two hundred fifty-three".