• 524524² = 275125426576 is an anagram of the next square 524525² = 275126475625.

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524524 has 48 divisors (see below), whose sum is σ = 1241856. Its totient is φ = 187200.

The previous prime is 524521. The next prime is 524591. The reversal of 524524 is 425425.

It is a Smith number, since the sum of its digits (22) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a nialpdrome in base 14.

It is a junction number, because it is equal to n+sod(n) for n = 524495 and 524504.

It is not an unprimeable number, because it can be changed into a prime (524521) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3939 + ... + 4069.

It is an arithmetic number, because the mean of its divisors is an integer number (25872).

2⁵²⁴⁵²⁴ 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 524524, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (620928).

524524 is an abundant number, since it is smaller than the sum of its proper divisors (717332).

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

524524 is a wasteful number, since it uses less digits than its factorization.

524524 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166 (or 164 counting only the distinct ones).

The product of its digits is 1600, while the sum is 22.

The square root of 524524 is about 724.2402916160. The cubic root of 524524 is about 80.6470442296.

Adding to 524524 its reverse (425425), we get a palindrome (949949).

Subtracting from 524524 its reverse (425425), we obtain a palindrome (99099).

The spelling of 524524 in words is "five hundred twenty-four thousand, five hundred twenty-four".