563000 has 32 divisors (see below), whose sum is σ = 1319760. Its totient is φ = 224800.

The previous prime is 562997. The next prime is 563009. The reversal of 563000 is 365.

It is a happy number.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 563000.

It is not an unprimeable number, because it can be changed into a prime (563009) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 719 + ... + 1281.

2⁵⁶³⁰⁰⁰ is an apocalyptic number.

563000 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 563000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (659880).

563000 is an abundant number, since it is smaller than the sum of its proper divisors (756760).

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

563000 is a wasteful number, since it uses less digits than its factorization.

563000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 584 (or 570 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 14.

The square root of 563000 is about 750.3332592922. Note that the first 3 decimals coincide. The cubic root of 563000 is about 82.5726326993.

Adding to 563000 its reverse (365), we get a palindrome (563365).

The spelling of 563000 in words is "five hundred sixty-three thousand".