5200 has 30 divisors (see below), whose sum is σ = 13454. Its totient is φ = 1920.

The previous prime is 5197. The next prime is 5209. The reversal of 5200 is 25.

5200 is nontrivially palindromic in base 9.

5200 is an esthetic number in base 3, because in such base its adjacent digits differ by 1.

It can be written as a sum of positive squares in 3 ways, for example, as 16 + 5184 = 4^2 + 72^2 .

It is a sliding number, since 5200 = 200 + 5000 and 1/200 + 1/5000 = 0.005200.

It is a nialpdrome in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5209) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 394 + ... + 406.

2⁵²⁰⁰ is an apocalyptic number.

5200 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6727).

5200 is an abundant number, since it is smaller than the sum of its proper divisors (8254).

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

5200 is a wasteful number, since it uses less digits than its factorization.

5200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31 (or 20 counting only the distinct ones).

The product of its (nonzero) digits is 10, while the sum is 7.

The square root of 5200 is about 72.1110255093. Note that the first 3 decimals coincide. The cubic root of 5200 is about 17.3247821068.

Adding to 5200 its reverse (25), we get a palindrome (5225).

It can be divided in two parts, 5 and 200, that multiplied together give a cube (1000 = 10³).

The spelling of 5200 in words is "five thousand, two hundred".