52113 has 8 divisors (see below), whose sum is σ = 72000. Its totient is φ = 33488.

The previous prime is 52103. The next prime is 52121. The reversal of 52113 is 31125.

52113 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

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 52113 - 2⁵ = 52081 is a prime.

52113 is a lucky number.

It is a nialpdrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (52103) 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, 213 + ... + 386.

It is an arithmetic number, because the mean of its divisors is an integer number (9000).

2⁵²¹¹³ is an apocalyptic number.

It is an amenable number.

52113 is a deficient number, since it is larger than the sum of its proper divisors (19887).

52113 is a wasteful number, since it uses less digits than its factorization.

52113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 631.

The product of its digits is 30, while the sum is 12.

The square root of 52113 is about 228.2827194511. The cubic root of 52113 is about 37.3521287870.

Adding to 52113 its sum of digits (12), we get a palindrome (52125).

Adding to 52113 its reverse (31125), we get a palindrome (83238).

The spelling of 52113 in words is "fifty-two thousand, one hundred thirteen".