59013 has 12 divisors (see below), whose sum is σ = 87360. Its totient is φ = 38376.

The previous prime is 59011. The next prime is 59021. The reversal of 59013 is 31095.

59013 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 59013 - 2¹ = 59011 is a prime.

It is an Ulam number.

It is a nialpdrome in base 9.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (59011) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 670 + ... + 752.

It is an arithmetic number, because the mean of its divisors is an integer number (7280).

2⁵⁹⁰¹³ is an apocalyptic number.

It is an amenable number.

59013 is a deficient number, since it is larger than the sum of its proper divisors (28347).

59013 is a wasteful number, since it uses less digits than its factorization.

59013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168 (or 165 counting only the distinct ones).

The product of its (nonzero) digits is 135, while the sum is 18.

The square root of 59013 is about 242.9259146324. The cubic root of 59013 is about 38.9328232117.

The spelling of 59013 in words is "fifty-nine thousand, thirteen".