56305300 has 72 divisors (see below), whose sum is σ = 129491712. Its totient is φ = 21216000.

The previous prime is 56305289. The next prime is 56305313. The reversal of 56305300 is 350365.

56305300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

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, 126879 + ... + 127321.

It is an arithmetic number, because the mean of its divisors is an integer number (1798496).

Almost surely, 2^56305300 is an apocalyptic number.

56305300 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 56305300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64745856).

56305300 is an abundant number, since it is smaller than the sum of its proper divisors (73186412).

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

56305300 is a wasteful number, since it uses less digits than its factorization.

56305300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 529 (or 522 counting only the distinct ones).

The product of its (nonzero) digits is 1350, while the sum is 22.

The square root of 56305300 is about 7503.6857610111. The cubic root of 56305300 is about 383.2802362919.

Adding to 56305300 its reverse (350365), we get a palindrome (56655665).

The spelling of 56305300 in words is "fifty-six million, three hundred five thousand, three hundred".