561165000 has 320 divisors, whose sum is σ = 2024352000. Its totient is φ = 128160000.

The previous prime is 561164963. The next prime is 561165001. The reversal of 561165000 is 561165.

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 (561165001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 3134911 + ... + 3135089.

It is an arithmetic number, because the mean of its divisors is an integer number (6326100).

Almost surely, 2^561165000 is an apocalyptic number.

561165000 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 561165000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1012176000).

561165000 is an abundant number, since it is smaller than the sum of its proper divisors (1463187000).

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

561165000 is a wasteful number, since it uses less digits than its factorization.

561165000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238 (or 219 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 24.

The square root of 561165000 is about 23688.9214613076. The cubic root of 561165000 is about 824.8282470743.

561165000 divided by its reverse (561165) gives a cube (1000 = 10³).

It can be divided in two parts, 56116 and 5000, that added together give a palindrome (61116).

The spelling of 561165000 in words is "five hundred sixty-one million, one hundred sixty-five thousand".