4525 has 6 divisors (see below), whose sum is σ = 5642. Its totient is φ = 3600.

The previous prime is 4523. The next prime is 4547. The reversal of 4525 is 5254.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 36 + 4489 = 6^2 + 67^2 .

It is not a de Polignac number, because 4525 - 2¹ = 4523 is a prime.

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

It is a Duffinian number.

It is a plaindrome in base 11 and base 16.

It is a junction number, because it is equal to n+sod(n) for n = 4499 and 4508.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4523) 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 5 ways as a sum of consecutive naturals, for example, 66 + ... + 115.

It is an amenable number.

4525 is a deficient number, since it is larger than the sum of its proper divisors (1117).

4525 is a wasteful number, since it uses less digits than its factorization.

4525 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191 (or 186 counting only the distinct ones).

The product of its digits is 200, while the sum is 16.

The square root of 4525 is about 67.2681202354. The cubic root of 4525 is about 16.5401532016.

Adding to 4525 its reverse (5254), we get a palindrome (9779).

Subtracting 4525 from its reverse (5254), we obtain a 6-th power (729 = 3⁶).

It can be divided in two parts, 4 and 525, that added together give a square (529 = 23²).

The spelling of 4525 in words is "four thousand, five hundred twenty-five".