5252 has 12 divisors (see below), whose sum is σ = 9996. Its totient is φ = 2400.

The previous prime is 5237. The next prime is 5261. The reversal of 5252 is 2525.

5252 is nontrivially palindromic in base 7.

5252 is an esthetic number in base 7, because in such base its adjacent digits differ by 1.

It can be written as a sum of positive squares in 2 ways, for example, as 3136 + 2116 = 56^2 + 46^2 .

It is an Ulam number.

It is an alternating number because its digits alternate between odd and even.

5252 is an undulating number in base 7 and base 10.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 5252.

It is an unprimeable number.

5252 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2 + ... + 102.

It is an arithmetic number, because the mean of its divisors is an integer number (833).

2⁵²⁵² is an apocalyptic number.

5252 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

5252 is a deficient number, since it is larger than the sum of its proper divisors (4744).

5252 is a wasteful number, since it uses less digits than its factorization.

5252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118 (or 116 counting only the distinct ones).

The product of its digits is 100, while the sum is 14.

The square root of 5252 is about 72.4706837280. The cubic root of 5252 is about 17.3823399453.

Adding to 5252 its reverse (2525), we get a palindrome (7777).

The spelling of 5252 in words is "five thousand, two hundred fifty-two".