525132 has 36 divisors (see below), whose sum is σ = 1375920. Its totient is φ = 168672.

The previous prime is 525127. The next prime is 525137. The reversal of 525132 is 231525.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (525127) and next prime (525137).

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a d-powerful number, because it can be written as 5² + 2⁶ + 1 + 5² + 3⁶ + 2¹⁹ .

It is not an unprimeable number, because it can be changed into a prime (525137) by changing a digit.

525132 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 11 ways as a sum of consecutive naturals, for example, 793 + ... + 1295.

It is an arithmetic number, because the mean of its divisors is an integer number (38220).

2⁵²⁵¹³² is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 525132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (687960).

525132 is an abundant number, since it is smaller than the sum of its proper divisors (850788).

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

525132 is a wasteful number, since it uses less digits than its factorization.

525132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 542 (or 537 counting only the distinct ones).

The product of its digits is 300, while the sum is 18.

The square root of 525132 is about 724.6599202385. The cubic root of 525132 is about 80.6781927690.

Adding to 525132 its reverse (231525), we get a palindrome (756657).

It can be divided in two parts, 52 and 5132, that added together give a square (5184 = 72²).

The spelling of 525132 in words is "five hundred twenty-five thousand, one hundred thirty-two".