13059 has 6 divisors (see below), whose sum is σ = 18876. Its totient is φ = 8700.

The previous prime is 13049. The next prime is 13063. The reversal of 13059 is 95031.

It is not a de Polignac number, because 13059 - 2⁴ = 13043 is a prime.

It is a zygodrome in base 2.

It is not an unprimeable number, because it can be changed into a prime (13009) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 717 + ... + 734.

It is an arithmetic number, because the mean of its divisors is an integer number (3146).

2¹³⁰⁵⁹ is an apocalyptic number.

13059 is a deficient number, since it is larger than the sum of its proper divisors (5817).

13059 is a wasteful number, since it uses less digits than its factorization.

13059 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1457 (or 1454 counting only the distinct ones).

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

The square root of 13059 is about 114.2759817284. The cubic root of 13059 is about 23.5488646727.

Subtracting from 13059 its sum of digits (18), we obtain a triangular number (13041 = T₁₆₁).

The spelling of 13059 in words is "thirteen thousand, fifty-nine".