130563 has 12 divisors (see below), whose sum is σ = 191880. Its totient is φ = 85536.

The previous prime is 130553. The next prime is 130579. The reversal of 130563 is 365031.

130563 is nontrivially palindromic in base 13.

130563 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 130563 - 2⁴ = 130547 is a prime.

130563 is strictly pandigital in base 7.

It is a zygodrome in base 2.

It is not an unprimeable number, because it can be changed into a prime (130513) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 720 + ... + 882.

It is an arithmetic number, because the mean of its divisors is an integer number (15990).

2¹³⁰⁵⁶³ is an apocalyptic number.

130563 is a deficient number, since it is larger than the sum of its proper divisors (61317).

130563 is a wasteful number, since it uses less digits than its factorization.

130563 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 258 (or 255 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 18.

The square root of 130563 is about 361.3350245963. The cubic root of 130563 is about 50.7309942017.

Adding to 130563 its reverse (365031), we get a palindrome (495594).

It can be divided in two parts, 1305 and 63, that multiplied together give a triangular number (82215 = T₄₀₅).

The spelling of 130563 in words is "one hundred thirty thousand, five hundred sixty-three".