42525 has 36 divisors (see below), whose sum is σ = 90272. Its totient is φ = 19440.

The previous prime is 42509. The next prime is 42533. The reversal of 42525 is 52524.

42525 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 42525 - 2⁴ = 42509 is a prime.

42525 is a lucky number.

It is a nialpdrome in base 9 and base 15.

It is a junction number, because it is equal to n+sod(n) for n = 42498 and 42507.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 6072 + ... + 6078.

2⁴²⁵²⁵ is an apocalyptic number.

42525 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

42525 is an abundant number, since it is smaller than the sum of its proper divisors (47747).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45136).

42525 is an equidigital number, since it uses as much as digits as its factorization.

42525 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32 (or 15 counting only the distinct ones).

The product of its digits is 400, while the sum is 18.

The square root of 42525 is about 206.2159062730. The cubic root of 42525 is about 34.9045015718.

Subtracting 42525 from its reverse (52524), we obtain a palindrome (9999).

The spelling of 42525 in words is "forty-two thousand, five hundred twenty-five".