561180312 has 384 divisors, whose sum is σ = 2063093760. Its totient is φ = 138568320.

The previous prime is 561180299. The next prime is 561180313. The reversal of 561180312 is 213081165.

561180312 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (561180313) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3442743 + ... + 3442905.

It is an arithmetic number, because the mean of its divisors is an integer number (5372640).

Almost surely, 2^561180312 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 561180312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1031546880).

561180312 is an abundant number, since it is smaller than the sum of its proper divisors (1501913448).

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

561180312 is a wasteful number, since it uses less digits than its factorization.

561180312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 561180312 is about 23689.2446481520. The cubic root of 561180312 is about 824.8357491193.

The spelling of 561180312 in words is "five hundred sixty-one million, one hundred eighty thousand, three hundred twelve".