5250 has 32 divisors (see below), whose sum is σ = 14976. Its totient is φ = 1200.

The previous prime is 5237. The next prime is 5261. The reversal of 5250 is 525.

5250 is an esthetic number in base 7, because in such base its adjacent digits differ by 1.

It is an Ulam number.

It is an alternating number because its digits alternate between odd and even.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

5250 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 747 + ... + 753.

It is an arithmetic number, because the mean of its divisors is an integer number (468).

2⁵²⁵⁰ is an apocalyptic number.

5250 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 5250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7488).

5250 is an abundant number, since it is smaller than the sum of its proper divisors (9726).

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

5250 is a wasteful number, since it uses less digits than its factorization.

5250 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 50, while the sum is 12.

The square root of 5250 is about 72.4568837309. The cubic root of 5250 is about 17.3801332244.

5250 divided by its product of nonzero digits (50) gives a triangular number (105 = T₁₄).

Adding to 5250 its reverse (525), we get a palindrome (5775).

The spelling of 5250 in words is "five thousand, two hundred fifty".