56250 has 36 divisors (see below), whose sum is σ = 152334. Its totient is φ = 15000.

The previous prime is 56249. The next prime is 56263. The reversal of 56250 is 5265.

It can be written as a sum of positive squares in 3 ways, for example, as 81 + 56169 = 9^2 + 237^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is a nialpdrome in base 5 and base 16.

It is a zygodrome in base 5.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 11248 + ... + 11252.

2⁵⁶²⁵⁰ is an apocalyptic number.

56250 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 56250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76167).

56250 is an abundant number, since it is smaller than the sum of its proper divisors (96084).

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

56250 is an equidigital number, since it uses as much as digits as its factorization.

56250 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33 (or 10 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 18.

The square root of 56250 is about 237.1708245126. The cubic root of 56250 is about 38.3154716197.

56250 divided by its sum of digits (18) gives a 5-th power (3125 = 5⁵).

The spelling of 56250 in words is "fifty-six thousand, two hundred fifty".