525264 has 40 divisors (see below), whose sum is σ = 1404672. Its totient is φ = 168960.

The previous prime is 525257. The next prime is 525299. The reversal of 525264 is 462525.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a d-powerful number, because it can be written as 5² + 2⁸ + 2¹⁹ + 5⁴ + 6 + 4³ .

It is a congruent number.

It is an unprimeable number.

525264 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 7 ways as a sum of consecutive naturals, for example, 1312 + ... + 1664.

2⁵²⁵²⁶⁴ 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 525264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (702336).

525264 is an abundant number, since it is smaller than the sum of its proper divisors (879408).

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

525264 is a wasteful number, since it uses less digits than its factorization.

525264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 395 (or 389 counting only the distinct ones).

The product of its digits is 2400, while the sum is 24.

The square root of 525264 is about 724.7509917206. The cubic root of 525264 is about 80.6849521040.

Adding to 525264 its reverse (462525), we get a palindrome (987789).

The spelling of 525264 in words is "five hundred twenty-five thousand, two hundred sixty-four".