525725200 has 360 divisors, whose sum is σ = 1722050496. Its totient is φ = 149760000.

The previous prime is 525725197. The next prime is 525725201. The reversal of 525725200 is 2527525.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (525725201) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5205150 + ... + 5205250.

Almost surely, 2^525725200 is an apocalyptic number.

525725200 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 525725200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (861025248).

525725200 is an abundant number, since it is smaller than the sum of its proper divisors (1196325296).

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

525725200 is a wasteful number, since it uses less digits than its factorization.

525725200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 7000, while the sum is 28.

The square root of 525725200 is about 22928.6981749946. The cubic root of 525725200 is about 807.0855992409.

The spelling of 525725200 in words is "five hundred twenty-five million, seven hundred twenty-five thousand, two hundred".