5268 has 12 divisors (see below), whose sum is σ = 12320. Its totient is φ = 1752.

The previous prime is 5261. The next prime is 5273. The reversal of 5268 is 8625.

It is a happy number.

5268 is an esthetic number in base 7, because in such base its adjacent digits differ by 1.

It is a tau number, because it is divible by the number of its divisors (12).

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 plaindrome in base 8.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5261) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 208 + ... + 231.

2⁵²⁶⁸ is an apocalyptic number.

It is an amenable number.

5268 is an abundant number, since it is smaller than the sum of its proper divisors (7052).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6160).

5268 is a wasteful number, since it uses less digits than its factorization.

5268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 446 (or 444 counting only the distinct ones).

The product of its digits is 480, while the sum is 21.

The square root of 5268 is about 72.5809892465. The cubic root of 5268 is about 17.3999735764.

It can be divided in two parts, 52 and 68, that added together give a triangular number (120 = T₁₅).

The spelling of 5268 in words is "five thousand, two hundred sixty-eight".