525200

525200 is a natural number that lies between 525199 and 525201. It is an even, composite integer with a prime factorization of 2^4 × 5^2 × 13 × 101, equivalently 16 × 25 × 13 × 101 or 400 × 1313.

A consequence of this factorization is that 525200 has 60 positive divisors. The sum of all divisors is 1,372,308, which yields a sum of proper divisors of 847,108. Because the sum of proper divisors exceeds the number itself, 525200 is classified as an abundant number, with an abundance of 321,908.

In terms of its structural representation, 525200 is divisible by 16 and by 25, and can be written as 16 × 25 × 1313 or as 400 × 1313, highlighting its composite and factor-rich nature.

The approximate square root of 525200 is about 724.7, since 724^2 = 524,176 and 725^2 = 525,625. There are no widely recognized constants, theorems, or cultural references tied specifically to this number, though it may appear in numerical datasets or as an identifier in various systems.

In summary, 525200 is a richly factorized, abundant composite number with 60 divisors and multiple equivalent factorizations, typical of integers formed by small prime powers multiplied by larger prime factors.