53013 has 8 divisors (see below), whose sum is σ = 72576. Its totient is φ = 34400.

The previous prime is 53003. The next prime is 53017. The reversal of 53013 is 31035.

It is a happy number.

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 53013 - 2⁵ = 52981 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 53013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53017) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 93 + ... + 338.

It is an arithmetic number, because the mean of its divisors is an integer number (9072).

2⁵³⁰¹³ is an apocalyptic number.

It is an amenable number.

53013 is a deficient number, since it is larger than the sum of its proper divisors (19563).

53013 is a wasteful number, since it uses less digits than its factorization.

53013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 475.

The product of its (nonzero) digits is 45, while the sum is 12.

The square root of 53013 is about 230.2455211291. The cubic root of 53013 is about 37.5659284682.

Adding to 53013 its reverse (31035), we get a palindrome (84048).

The spelling of 53013 in words is "fifty-three thousand, thirteen".