506301563 has 8 divisors (see below), whose sum is σ = 509414400. Its totient is φ = 503198248.

The previous prime is 506301557. The next prime is 506301581. The reversal of 506301563 is 365103605.

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 506301563 - 2¹⁰ = 506300539 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (506301533) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 123968 + ... + 127986.

It is an arithmetic number, because the mean of its divisors is an integer number (63676800).

Almost surely, 2^506301563 is an apocalyptic number.

506301563 is a deficient number, since it is larger than the sum of its proper divisors (3112837).

506301563 is a wasteful number, since it uses less digits than its factorization.

506301563 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4761.

The product of its (nonzero) digits is 8100, while the sum is 29.

The square root of 506301563 is about 22501.1458152691. The cubic root of 506301563 is about 797.0209846665.

The spelling of 506301563 in words is "five hundred six million, three hundred one thousand, five hundred sixty-three".