523563 has 8 divisors (see below), whose sum is σ = 709776. Its totient is φ = 343200.

The previous prime is 523553. The next prime is 523571. The reversal of 523563 is 365325.

523563 is digitally balanced in base 7, because in such base 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 not a de Polignac number, because 523563 - 2⁸ = 523307 is a prime.

523563 is strictly pandigital in base 7.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 523563.

It is not an unprimeable number, because it can be changed into a prime (523543) 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, 1248 + ... + 1613.

It is an arithmetic number, because the mean of its divisors is an integer number (88722).

2⁵²³⁵⁶³ is an apocalyptic number.

523563 is a deficient number, since it is larger than the sum of its proper divisors (186213).

523563 is a wasteful number, since it uses less digits than its factorization.

523563 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2925.

The product of its digits is 2700, while the sum is 24.

The square root of 523563 is about 723.5765336162. The cubic root of 523563 is about 80.5977619666.

Adding to 523563 its reverse (365325), we get a palindrome (888888).

The spelling of 523563 in words is "five hundred twenty-three thousand, five hundred sixty-three".