53313 has 8 divisors (see below), whose sum is σ = 76608. Its totient is φ = 32784.

The previous prime is 53309. The next prime is 53323. The reversal of 53313 is 31335.

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

It is not a de Polignac number, because 53313 - 2² = 53309 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 53292 and 53301.

It is not an unprimeable number, because it can be changed into a prime (53323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 645 + ... + 722.

It is an arithmetic number, because the mean of its divisors is an integer number (9576).

2⁵³³¹³ is an apocalyptic number.

It is an amenable number.

53313 is a deficient number, since it is larger than the sum of its proper divisors (23295).

53313 is a wasteful number, since it uses less digits than its factorization.

53313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1383.

The product of its digits is 135, while the sum is 15.

The square root of 53313 is about 230.8960805211. The cubic root of 53313 is about 37.6366569474.

Adding to 53313 its reverse (31335), we get a palindrome (84648).

The spelling of 53313 in words is "fifty-three thousand, three hundred thirteen".