561579312 has 160 divisors (see below), whose sum is σ = 1734746112. Its totient is φ = 153199872.

The previous prime is 561579311. The next prime is 561579323. The reversal of 561579312 is 213975165.

It is not an unprimeable number, because it can be changed into a prime (561579311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 678643 + ... + 679469.

Almost surely, 2^561579312 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 561579312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (867373056).

561579312 is an abundant number, since it is smaller than the sum of its proper divisors (1173166800).

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

561579312 is a wasteful number, since it uses less digits than its factorization.

561579312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 935 (or 929 counting only the distinct ones).

The product of its digits is 56700, while the sum is 39.

The square root of 561579312 is about 23697.6646950707. The cubic root of 561579312 is about 825.0311892708.

The spelling of 561579312 in words is "five hundred sixty-one million, five hundred seventy-nine thousand, three hundred twelve".