5180 has 24 divisors (see below), whose sum is σ = 12768. Its totient is φ = 1728.

The previous prime is 5179. The next prime is 5189. The reversal of 5180 is 815.

Added to its reverse (815) it gives a triangular number (5995 = T₁₀₉).

5180 = T₄₃ + T₄₄ + ... + T₄₇.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5189) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 122 + ... + 158.

It is an arithmetic number, because the mean of its divisors is an integer number (532).

2⁵¹⁸⁰ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6384).

5180 is an abundant number, since it is smaller than the sum of its proper divisors (7588).

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

5180 is a wasteful number, since it uses less digits than its factorization.

It is an anagram of its base 15 representation: 5180 = (1805)₁₅.

5180 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 14.

The square root of 5180 is about 71.9722168618. The cubic root of 5180 is about 17.3025423107.

Adding to 5180 its reverse (815), we get a palindrome (5995).

It can be divided in two parts, 51 and 80, that added together give a palindrome (131).

The spelling of 5180 in words is "five thousand, one hundred eighty".