506541563 has 8 divisors (see below), whose sum is σ = 558063216. Its totient is φ = 455932000.

The previous prime is 506541557. The next prime is 506541589. The reversal of 506541563 is 365145605.

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 506541563 - 2⁸ = 506541307 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (506547563) 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, 226856 + ... + 229077.

It is an arithmetic number, because the mean of its divisors is an integer number (69757902).

Almost surely, 2^506541563 is an apocalyptic number.

506541563 is a deficient number, since it is larger than the sum of its proper divisors (51521653).

506541563 is a wasteful number, since it uses less digits than its factorization.

506541563 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 456045.

The product of its (nonzero) digits is 54000, while the sum is 35.

The square root of 506541563 is about 22506.4782451631. The cubic root of 506541563 is about 797.1469009409.

The spelling of 506541563 in words is "five hundred six million, five hundred forty-one thousand, five hundred sixty-three".