561913200 has 420 divisors, whose sum is σ = 2117551968. Its totient is φ = 143078400.

The previous prime is 561913141. The next prime is 561913229. The reversal of 561913200 is 2319165.

561913200 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 zygodrome in base 3.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 11955577 + ... + 11955623.

Almost surely, 2^561913200 is an apocalyptic number.

561913200 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 561913200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1058775984).

561913200 is an abundant number, since it is smaller than the sum of its proper divisors (1555638768).

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

561913200 is a wasteful number, since it uses less digits than its factorization.

561913200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124 (or 98 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 27.

The square root of 561913200 is about 23704.7083930598. The cubic root of 561913200 is about 825.1946648076.

The spelling of 561913200 in words is "five hundred sixty-one million, nine hundred thirteen thousand, two hundred".