561013120 has 128 divisors (see below), whose sum is σ = 1403438400. Its totient is φ = 214179840.

The previous prime is 561013111. The next prime is 561013139. The reversal of 561013120 is 21310165.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3099430 + ... + 3099610.

Almost surely, 2^561013120 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 561013120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (701719200).

561013120 is an abundant number, since it is smaller than the sum of its proper divisors (842425280).

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

561013120 is a wasteful number, since it uses less digits than its factorization.

561013120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 396 (or 384 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 19.

The square root of 561013120 is about 23685.7155264518. The cubic root of 561013120 is about 824.7538267655.

Adding to 561013120 its reverse (21310165), we get a palindrome (582323285).

It can be divided in two parts, 56 and 1013120, that added together give a triangular number (1013176 = T₁₄₂₃).

The spelling of 561013120 in words is "five hundred sixty-one million, thirteen thousand, one hundred twenty".