525624 has 48 divisors (see below), whose sum is σ = 1452360. Its totient is φ = 158400.

The previous prime is 525607. The next prime is 525641. The reversal of 525624 is 426525.

It is a Cunningham number, because it is equal to 725²-1.

It is an interprime number because it is at equal distance from previous prime (525607) and next prime (525641).

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 + 2¹⁰ + 6 + 5² + 2¹⁹ + 4⁴ .

It is a junction number, because it is equal to n+sod(n) for n = 525594 and 525603.

It is a congruent number.

It is an unprimeable number.

525624 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, 2814 + ... + 2994.

2⁵²⁵⁶²⁴ 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 525624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (726180).

525624 is an abundant number, since it is smaller than the sum of its proper divisors (926736).

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

525624 is a wasteful number, since it uses less digits than its factorization.

525624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 212 (or 197 counting only the distinct ones).

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

The square root of 525624 is about 724.9993103445. Note that the first 3 decimals coincide. The cubic root of 525624 is about 80.7033809000.

Subtracting from 525624 its reverse (426525), we obtain a palindrome (99099).

The spelling of 525624 in words is "five hundred twenty-five thousand, six hundred twenty-four".