13015 has 8 divisors (see below), whose sum is σ = 16560. Its totient is φ = 9792.

The previous prime is 13009. The next prime is 13033. The reversal of 13015 is 51031.

13015 = 49² + 50² + ... + 53².

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 13015 - 2³ = 13007 is a prime.

It is a nialpdrome in base 11.

It is a junction number, because it is equal to n+sod(n) for n = 12992 and 13010.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 27 + ... + 163.

It is an arithmetic number, because the mean of its divisors is an integer number (2070).

2¹³⁰¹⁵ is an apocalyptic number.

13015 is a deficient number, since it is larger than the sum of its proper divisors (3545).

13015 is a wasteful number, since it uses less digits than its factorization.

13015 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161.

The product of its (nonzero) digits is 15, while the sum is 10.

The square root of 13015 is about 114.0833028975. The cubic root of 13015 is about 23.5223869961.

Adding to 13015 its reverse (51031), we get a palindrome (64046).

The spelling of 13015 in words is "thirteen thousand, fifteen".