3525 has 12 divisors (see below), whose sum is σ = 5952. Its totient is φ = 1840.

The previous prime is 3517. The next prime is 3527. The reversal of 3525 is 5253.

Added to its reverse (5253) it gives a triangular number (8778 = T₁₃₂).

It is not a de Polignac number, because 3525 - 2³ = 3517 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an Ulam number.

It is a d-powerful number, because it can be written as 3⁵ + 2⁵ + 5³ + 5⁵ .

It is a nialpdrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3527) 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, 52 + ... + 98.

It is an arithmetic number, because the mean of its divisors is an integer number (496).

2³⁵²⁵ is an apocalyptic number.

It is an amenable number.

3525 is a deficient number, since it is larger than the sum of its proper divisors (2427).

3525 is a wasteful number, since it uses less digits than its factorization.

3525 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60 (or 55 counting only the distinct ones).

The product of its digits is 150, while the sum is 15.

The square root of 3525 is about 59.3717104352. The cubic root of 3525 is about 15.2190089969.

Subtracting from 3525 its product of digits (150), we obtain a cube (3375 = 15³).

Adding to 3525 its reverse (5253), we get a palindrome (8778).

Subtracting 3525 from its reverse (5253), we obtain a cube (1728 = 12³).

It can be divided in two parts, 3 and 525, that added together give a triangular number (528 = T₃₂).

The spelling of 3525 in words is "three thousand, five hundred twenty-five".