59125 has 16 divisors (see below), whose sum is σ = 82368. Its totient is φ = 42000.

The previous prime is 59123. The next prime is 59141. The reversal of 59125 is 52195.

It is not a de Polignac number, because 59125 - 2¹ = 59123 is a prime.

It is an Ulam number.

59125 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 59096 and 59105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (59123) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 1354 + ... + 1396.

It is an arithmetic number, because the mean of its divisors is an integer number (5148).

2⁵⁹¹²⁵ is an apocalyptic number.

59125 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

59125 is a deficient number, since it is larger than the sum of its proper divisors (23243).

59125 is a wasteful number, since it uses less digits than its factorization.

59125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69 (or 59 counting only the distinct ones).

The product of its digits is 450, while the sum is 22.

The square root of 59125 is about 243.1563283158. The cubic root of 59125 is about 38.9574376782.

It can be divided in two parts, 591 and 25, that added together give a palindrome (616).

The spelling of 59125 in words is "fifty-nine thousand, one hundred twenty-five".