563010000 has 300 divisors, whose sum is σ = 2119721472. Its totient is φ = 128352000.

The previous prime is 563009983. The next prime is 563010001. The reversal of 563010000 is 10365.

It is a tau number, because it is divible by the number of its divisors (300).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (563010001) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1469809 + ... + 1470191.

Almost surely, 2^563010000 is an apocalyptic number.

563010000 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 563010000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1059860736).

563010000 is an abundant number, since it is smaller than the sum of its proper divisors (1556711472).

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

563010000 is a wasteful number, since it uses less digits than its factorization.

563010000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 428 (or 400 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 15.

The square root of 563010000 is about 23727.8317593496. The cubic root of 563010000 is about 825.7312158112.

Adding to 563010000 its reverse (10365), we get a palindrome (563020365).

The spelling of 563010000 in words is "five hundred sixty-three million, ten thousand".