52013 has 4 divisors (see below), whose sum is σ = 56028. Its totient is φ = 48000.

The previous prime is 52009. The next prime is 52021. The reversal of 52013 is 31025.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 4489 + 47524 = 67^2 + 218^2 .

It is a cyclic number.

It is not a de Polignac number, because 52013 - 2² = 52009 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 51985 and 52003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52313) 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, 1988 + ... + 2013.

It is an arithmetic number, because the mean of its divisors is an integer number (14007).

2⁵²⁰¹³ is an apocalyptic number.

It is an amenable number.

52013 is a deficient number, since it is larger than the sum of its proper divisors (4015).

52013 is a wasteful number, since it uses less digits than its factorization.

52013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4014.

The product of its (nonzero) digits is 30, while the sum is 11.

The square root of 52013 is about 228.0635876242. The cubic root of 52013 is about 37.3282217350.

Adding to 52013 its reverse (31025), we get a palindrome (83038).

The spelling of 52013 in words is "fifty-two thousand, thirteen".