526563 has 12 divisors (see below), whose sum is σ = 779688. Its totient is φ = 342240.

The previous prime is 526543. The next prime is 526571. The reversal of 526563 is 365625.

526563 is a `hidden beast` number, since 5 + 2 + 656 + 3 = 666.

It is not a de Polignac number, because 526563 - 2⁵ = 526531 is a prime.

It is a plaindrome in base 13.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 526563.

It is not an unprimeable number, because it can be changed into a prime (526543) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 345 + ... + 1082.

It is an arithmetic number, because the mean of its divisors is an integer number (64974).

2⁵²⁶⁵⁶³ is an apocalyptic number.

526563 is a deficient number, since it is larger than the sum of its proper divisors (253125).

526563 is a wasteful number, since it uses less digits than its factorization.

526563 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1474 (or 1471 counting only the distinct ones).

The product of its digits is 5400, while the sum is 27.

The square root of 526563 is about 725.6466082054. The cubic root of 526563 is about 80.7514097784.

It can be divided in two parts, 526 and 563, that added together give a square (1089 = 33²).

The spelling of 526563 in words is "five hundred twenty-six thousand, five hundred sixty-three".