563125200 has 240 divisors, whose sum is σ = 2022805056. Its totient is φ = 132710400.

The previous prime is 563125183. The next prime is 563125231. The reversal of 563125200 is 2521365.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 487824 + ... + 488976.

Almost surely, 2^563125200 is an apocalyptic number.

563125200 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 563125200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1011402528).

563125200 is an abundant number, since it is smaller than the sum of its proper divisors (1459679856).

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

563125200 is a wasteful number, since it uses less digits than its factorization.

563125200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1222 (or 1211 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 24.

The square root of 563125200 is about 23730.2591641979. The cubic root of 563125200 is about 825.7875308257.

Adding to 563125200 its reverse (2521365), we get a palindrome (565646565).

The spelling of 563125200 in words is "five hundred sixty-three million, one hundred twenty-five thousand, two hundred".