525312 has 88 divisors (see below), whose sum is σ = 1637600. Its totient is φ = 165888.

The previous prime is 525299. The next prime is 525313. The reversal of 525312 is 213525.

It is a happy number.

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

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (525313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (2) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 27639 + ... + 27657.

525312 is a Friedman number, since it can be written as 513*(2+2)^5, using all its digits and the basic arithmetic operations.

2⁵²⁵³¹² 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 525312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (818800).

525312 is an abundant number, since it is smaller than the sum of its proper divisors (1112288).

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

525312 is a wasteful number, since it uses less digits than its factorization.

525312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48 (or 24 counting only the distinct ones).

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

The square root of 525312 is about 724.7841057860. The cubic root of 525312 is about 80.6874097632.

Adding to 525312 its reverse (213525), we get a palindrome (738837).

It can be divided in two parts, 5253 and 12, that multiplied together give a palindrome (63036).

The spelling of 525312 in words is "five hundred twenty-five thousand, three hundred twelve".