561331584 has 144 divisors (see below), whose sum is σ = 1775925060. Its totient is φ = 170058240.

The previous prime is 561331571. The next prime is 561331679. The reversal of 561331584 is 485133165.

561331584 is a `hidden beast` number, since 5 + 613 + 31 + 5 + 8 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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 17 ways as a sum of consecutive naturals, for example, 137379 + ... + 141405.

Almost surely, 2^561331584 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 561331584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (887962530).

561331584 is an abundant number, since it is smaller than the sum of its proper divisors (1214593476).

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

561331584 is a wasteful number, since it uses less digits than its factorization.

561331584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4069 (or 4043 counting only the distinct ones).

The product of its digits is 43200, while the sum is 36.

The square root of 561331584 is about 23692.4372743709. The cubic root of 561331584 is about 824.9098568176.

The spelling of 561331584 in words is "five hundred sixty-one million, three hundred thirty-one thousand, five hundred eighty-four".