5191 has 4 divisors (see below), whose sum is σ = 5400. Its totient is φ = 4984.

The previous prime is 5189. The next prime is 5197. The reversal of 5191 is 1915.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 1915 = 5 ⋅383.

It is a cyclic number.

It is not a de Polignac number, because 5191 - 2¹ = 5189 is a prime.

It is a Duffinian number.

5191 is a lucky number.

It is a plaindrome in base 11 and base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5197) 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, 61 + ... + 118.

It is an arithmetic number, because the mean of its divisors is an integer number (1350).

2⁵¹⁹¹ is an apocalyptic number.

5191 is a deficient number, since it is larger than the sum of its proper divisors (209).

5191 is a wasteful number, since it uses less digits than its factorization.

5191 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 208.

The product of its digits is 45, while the sum is 16.

The square root of 5191 is about 72.0485947122. The cubic root of 5191 is about 17.3147812683.

It can be divided in two parts, 5 and 191, that added together give a square (196 = 14²).

The spelling of 5191 in words is "five thousand, one hundred ninety-one".