5525 has 12 divisors (see below), whose sum is σ = 7812. Its totient is φ = 3840.

The previous prime is 5521. The next prime is 5527. The reversal of 5525 is 5255.

5525 = 1² + 2² + ... + 25².

It is a happy number.

5525 is nontrivially palindromic in base 4.

It can be written as a sum of positive squares in 6 ways, for example, as 196 + 5329 = 14^2 + 73^2 .

It is not a de Polignac number, because 5525 - 2² = 5521 is a prime.

It is a hoax number, since the sum of its digits (17) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5521) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 317 + ... + 333.

It is an arithmetic number, because the mean of its divisors is an integer number (651).

2⁵⁵²⁵ is an apocalyptic number.

It is an amenable number.

5525 is a deficient number, since it is larger than the sum of its proper divisors (2287).

5525 is a wasteful number, since it uses less digits than its factorization.

5525 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40 (or 35 counting only the distinct ones).

The product of its digits is 250, while the sum is 17.

The square root of 5525 is about 74.3303437366. The cubic root of 5525 is about 17.6784463190.

5525 divided by its sum of digits (17) gives a triangular number (325 = T₂₅).

Adding to 5525 its product of digits (250), we get a palindrome (5775).

The spelling of 5525 in words is "five thousand, five hundred twenty-five".