561150 has 72 divisors (see below), whose sum is σ = 1595880. Its totient is φ = 141120.

The previous prime is 561109. The next prime is 561161. The reversal of 561150 is 51165.

561150 is a `hidden beast` number, since 5 + 611 + 50 = 666.

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

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 561150.

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 13029 + ... + 13071.

It is an arithmetic number, because the mean of its divisors is an integer number (22165).

2⁵⁶¹¹⁵⁰ is an apocalyptic number.

561150 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 561150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (797940).

561150 is an abundant number, since it is smaller than the sum of its proper divisors (1034730).

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

561150 is a wasteful number, since it uses less digits than its factorization.

561150 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90 (or 82 counting only the distinct ones).

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

The square root of 561150 is about 749.0994593510. The cubic root of 561150 is about 82.4820897760.

561150 divided by its product of nonzero digits (150) gives a triangular number (3741 = T₈₆).

The spelling of 561150 in words is "five hundred sixty-one thousand, one hundred fifty".