5193 has 6 divisors (see below), whose sum is σ = 7514. Its totient is φ = 3456.

The previous prime is 5189. The next prime is 5197. The reversal of 5193 is 3915.

It is an interprime number because it is at equal distance from previous prime (5189) and next prime (5197).

It can be written as a sum of positive squares in only one way, i.e., 5184 + 9 = 72^2 + 3^2 .

It is not a de Polignac number, because 5193 - 2² = 5189 is a prime.

It is a Duffinian number.

It is a plaindrome in base 16.

It is a nialpdrome in base 9.

It is not an unprimeable number, because it can be changed into a prime (5197) 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 5 ways as a sum of consecutive naturals, for example, 280 + ... + 297.

2⁵¹⁹³ is an apocalyptic number.

It is an amenable number.

5193 is a deficient number, since it is larger than the sum of its proper divisors (2321).

5193 is a wasteful number, since it uses less digits than its factorization.

5193 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 583 (or 580 counting only the distinct ones).

The product of its digits is 135, while the sum is 18.

The square root of 5193 is about 72.0624728968. The cubic root of 5193 is about 17.3170046752.

It can be divided in two parts, 51 and 93, that added together give a square (144 = 12²).

The spelling of 5193 in words is "five thousand, one hundred ninety-three".