59250 has 32 divisors (see below), whose sum is σ = 149760. Its totient is φ = 15600.

The previous prime is 59243. The next prime is 59263. The reversal of 59250 is 5295.

It is a nialpdrome in base 16.

It is a zygodrome in base 5.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 711 + ... + 789.

It is an arithmetic number, because the mean of its divisors is an integer number (4680).

2⁵⁹²⁵⁰ is an apocalyptic number.

59250 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 59250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74880).

59250 is an abundant number, since it is smaller than the sum of its proper divisors (90510).

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

59250 is a wasteful number, since it uses less digits than its factorization.

59250 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99 (or 89 counting only the distinct ones).

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

The square root of 59250 is about 243.4132288928. The cubic root of 59250 is about 38.9848725025.

The spelling of 59250 in words is "fifty-nine thousand, two hundred fifty".