5052 has 12 divisors (see below), whose sum is σ = 11816. Its totient is φ = 1680.

The previous prime is 5051. The next prime is 5059. The reversal of 5052 is 2505.

5052 is nontrivially palindromic in base 11.

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 (12) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (12), and also a Moran number because the ratio is a prime number: 421 = 5052 / (5 + 0 + 5 + 2).

It is an Ulam number.

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

It is a plaindrome in base 16.

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 5052.

It is not an unprimeable number, because it can be changed into a prime (5051) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 199 + ... + 222.

2⁵⁰⁵² is an apocalyptic number.

It is an amenable number.

5052 is an abundant number, since it is smaller than the sum of its proper divisors (6764).

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 (5908).

5052 is a wasteful number, since it uses less digits than its factorization.

5052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 428 (or 426 counting only the distinct ones).

The product of its (nonzero) digits is 50, while the sum is 12.

The square root of 5052 is about 71.0774225757. The cubic root of 5052 is about 17.1588343110.

Adding to 5052 its reverse (2505), we get a palindrome (7557).

The spelling of 5052 in words is "five thousand, fifty-two".