56511300 has 72 divisors (see below), whose sum is σ = 165051936. Its totient is φ = 14927360.

The previous prime is 56511269. The next prime is 56511319. The reversal of 56511300 is 311565.

It is a happy number.

56511300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 33067 + ... + 34733.

It is an arithmetic number, because the mean of its divisors is an integer number (2292388).

Almost surely, 2^56511300 is an apocalyptic number.

56511300 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 56511300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82525968).

56511300 is an abundant number, since it is smaller than the sum of its proper divisors (108540636).

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

56511300 is a wasteful number, since it uses less digits than its factorization.

56511300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1797 (or 1790 counting only the distinct ones).

The product of its (nonzero) digits is 450, while the sum is 21.

The square root of 56511300 is about 7517.3998164259. The cubic root of 56511300 is about 383.7470936695.

Adding to 56511300 its reverse (311565), we get a palindrome (56822865).

The spelling of 56511300 in words is "fifty-six million, five hundred eleven thousand, three hundred".