561512 has 32 divisors (see below), whose sum is σ = 1240320. Its totient is φ = 233280.

The previous prime is 561461. The next prime is 561521. The reversal of 561512 is 215165.

It is a super-2 number, since 2×561512² = 630591452288, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

561512 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1937 + ... + 2207.

It is an arithmetic number, because the mean of its divisors is an integer number (38760).

2⁵⁶¹⁵¹² 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 561512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (620160).

561512 is an abundant number, since it is smaller than the sum of its proper divisors (678808).

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

561512 is a wasteful number, since it uses less digits than its factorization.

561512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 321 (or 317 counting only the distinct ones).

The product of its digits is 300, while the sum is 20.

The square root of 561512 is about 749.3410438512. The cubic root of 561512 is about 82.4998224667.

Adding to 561512 its reverse (215165), we get a palindrome (776677).

The spelling of 561512 in words is "five hundred sixty-one thousand, five hundred twelve".