56259 has 24 divisors (see below), whose sum is σ = 99840. Its totient is φ = 29808.

The previous prime is 56249. The next prime is 56263. The reversal of 56259 is 95265.

It is not a de Polignac number, because 56259 - 2⁷ = 56131 is a prime.

56259 is a modest number, since divided by 259 gives 56 as remainder.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56209) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1174 + ... + 1220.

It is an arithmetic number, because the mean of its divisors is an integer number (4160).

2⁵⁶²⁵⁹ is an apocalyptic number.

56259 is a deficient number, since it is larger than the sum of its proper divisors (43581).

56259 is a wasteful number, since it uses less digits than its factorization.

56259 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79 (or 76 counting only the distinct ones).

The product of its digits is 2700, while the sum is 27.

The square root of 56259 is about 237.1897974197. The cubic root of 56259 is about 38.3175150025.

It can be divided in two parts, 5625 and 9, that multiplied together give a 4-th power (50625 = 15⁴).

The spelling of 56259 in words is "fifty-six thousand, two hundred fifty-nine".