6013 has 4 divisors (see below), whose sum is σ = 6880. Its totient is φ = 5148.

The previous prime is 6011. The next prime is 6029. The reversal of 6013 is 3106.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4, and also an emirpimes, since its reverse is a distinct semiprime: 3106 = 2 ⋅1553.

It is a cyclic number.

It is not a de Polignac number, because 6013 - 2¹ = 6011 is a prime.

It is a Duffinian number.

It is a plaindrome in base 11 and base 16.

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 (6011) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 423 + ... + 436.

It is an arithmetic number, because the mean of its divisors is an integer number (1720).

2⁶⁰¹³ is an apocalyptic number.

It is an amenable number.

6013 is a deficient number, since it is larger than the sum of its proper divisors (867).

6013 is an equidigital number, since it uses as much as digits as its factorization.

6013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 866.

The product of its (nonzero) digits is 18, while the sum is 10.

The square root of 6013 is about 77.5435361587. The cubic root of 6013 is about 18.1843201102.

Subtracting from 6013 its product of nonzero digits (18), we obtain a palindrome (5995).

Adding to 6013 its reverse (3106), we get a palindrome (9119).

It can be divided in two parts, 60 and 13, that multiplied together give a triangular number (780 = T₃₉).

The spelling of 6013 in words is "six thousand, thirteen".