506405163 has 48 divisors (see below), whose sum is σ = 809890560. Its totient is φ = 278745600.

The previous prime is 506405147. The next prime is 506405177. The reversal of 506405163 is 361504605.

It is not a de Polignac number, because 506405163 - 2⁴ = 506405147 is a prime.

It is a super-2 number, since 2×506405163² = 512892378226113138, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 506405163.

It is not an unprimeable number, because it can be changed into a prime (506405113) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 275658 + ... + 277488.

It is an arithmetic number, because the mean of its divisors is an integer number (16872720).

Almost surely, 2^506405163 is an apocalyptic number.

506405163 is a deficient number, since it is larger than the sum of its proper divisors (303485397).

506405163 is a wasteful number, since it uses less digits than its factorization.

506405163 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1908 (or 1891 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 30.

The square root of 506405163 is about 22503.4478025035. The cubic root of 506405163 is about 797.0753434050.

Adding to 506405163 its reverse (361504605), we get a palindrome (867909768).

The spelling of 506405163 in words is "five hundred six million, four hundred five thousand, one hundred sixty-three".