561105000 has 240 divisors, whose sum is σ = 1956076980. Its totient is φ = 145152000.

The previous prime is 561104993. The next prime is 561105007. The reversal of 561105000 is 501165.

561105000 is a `hidden beast` number, since 5 + 611 + 0 + 50 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (561104993) and next prime (561105007).

It can be written as a sum of positive squares in 10 ways, for example, as 17189316 + 543915684 = 4146^2 + 23322^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (561105007) 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, 1664832 + ... + 1665168.

Almost surely, 2^561105000 is an apocalyptic number.

561105000 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 561105000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (978038490).

561105000 is an abundant number, since it is smaller than the sum of its proper divisors (1394971980).

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

561105000 is a wasteful number, since it uses less digits than its factorization.

561105000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 406 (or 384 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 18.

The square root of 561105000 is about 23687.6550126854. The cubic root of 561105000 is about 824.7988490311.

Adding to 561105000 its reverse (501165), we get a palindrome (561606165).

The spelling of 561105000 in words is "five hundred sixty-one million, one hundred five thousand".