561813000 has 256 divisors, whose sum is σ = 2070282240. Its totient is φ = 124128000.

The previous prime is 561812987. The next prime is 561813001. The reversal of 561813000 is 318165.

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

It is not an unprimeable number, because it can be changed into a prime (561813001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 650569 + ... + 651431.

It is an arithmetic number, because the mean of its divisors is an integer number (8087040).

Almost surely, 2^561813000 is an apocalyptic number.

561813000 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 561813000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1035141120).

561813000 is an abundant number, since it is smaller than the sum of its proper divisors (1508469240).

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

561813000 is a wasteful number, since it uses less digits than its factorization.

561813000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 925 (or 911 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 24.

The square root of 561813000 is about 23702.5947946633. The cubic root of 561813000 is about 825.1456124981.

The spelling of 561813000 in words is "five hundred sixty-one million, eight hundred thirteen thousand".