5133 has 8 divisors (see below), whose sum is σ = 7200. Its totient is φ = 3248.

The previous prime is 5119. The next prime is 5147. The reversal of 5133 is 3315.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (5119) and next prime (5147).

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 5133 - 2⁵ = 5101 is a prime.

It is a Curzon number.

It is a plaindrome in base 13.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5113) 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 7 ways as a sum of consecutive naturals, for example, 58 + ... + 116.

It is an arithmetic number, because the mean of its divisors is an integer number (900).

2⁵¹³³ is an apocalyptic number.

It is an amenable number.

5133 is a deficient number, since it is larger than the sum of its proper divisors (2067).

5133 is a wasteful number, since it uses less digits than its factorization.

5133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91.

The product of its digits is 45, while the sum is 12.

The square root of 5133 is about 71.6449579524. The cubic root of 5133 is about 17.2500525098.

Adding to 5133 its reverse (3315), we get a palindrome (8448).

The spelling of 5133 in words is "five thousand, one hundred thirty-three".