563516000 has 96 divisors (see below), whose sum is σ = 1466180352. Its totient is φ = 212121600.

The previous prime is 563515973. The next prime is 563516011. The reversal of 563516000 is 615365.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 63857 + ... + 72143.

It is an arithmetic number, because the mean of its divisors is an integer number (15272712).

Almost surely, 2^563516000 is an apocalyptic number.

563516000 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 563516000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (733090176).

563516000 is an abundant number, since it is smaller than the sum of its proper divisors (902664352).

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

563516000 is a wasteful number, since it uses less digits than its factorization.

563516000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8329 (or 8311 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 26.

The square root of 563516000 is about 23738.4919487317. The cubic root of 563516000 is about 825.9785144898.

The spelling of 563516000 in words is "five hundred sixty-three million, five hundred sixteen thousand".