52563 has 8 divisors (see below), whose sum is σ = 80128. Its totient is φ = 30024.

The previous prime is 52561. The next prime is 52567. The reversal of 52563 is 36525.

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

It is not a de Polignac number, because 52563 - 2¹ = 52561 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21), and also a Moran number because the ratio is a prime number: 2503 = 52563 / (5 + 2 + 5 + 6 + 3).

It is a d-powerful number, because it can be written as 5 + 2¹¹ + 5⁵ + 6⁶ + 3⁶ .

It is an alternating number because its digits alternate between odd and even.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (52561) 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, 1231 + ... + 1272.

It is an arithmetic number, because the mean of its divisors is an integer number (10016).

2⁵²⁵⁶³ is an apocalyptic number.

52563 is a deficient number, since it is larger than the sum of its proper divisors (27565).

52563 is a wasteful number, since it uses less digits than its factorization.

52563 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2513.

The product of its digits is 900, while the sum is 21.

The square root of 52563 is about 229.2662208002. The cubic root of 52563 is about 37.4593336938.

The spelling of 52563 in words is "fifty-two thousand, five hundred sixty-three".