56561100 has 72 divisors (see below), whose sum is σ = 172280640. Its totient is φ = 14287680.

The previous prime is 56561059. The next prime is 56561129. The reversal of 56561100 is 116565.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 739 + ... + 10661.

Almost surely, 2^56561100 is an apocalyptic number.

56561100 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 56561100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86140320).

56561100 is an abundant number, since it is smaller than the sum of its proper divisors (115719540).

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

56561100 is a wasteful number, since it uses less digits than its factorization.

56561100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9959 (or 9952 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 24.

The square root of 56561100 is about 7520.7114025204. The cubic root of 56561100 is about 383.8597849622.

Adding to 56561100 its reverse (116565), we get a palindrome (56677665).

The spelling of 56561100 in words is "fifty-six million, five hundred sixty-one thousand, one hundred".