506829163 has 2 divisors, whose sum is σ = 506829164. Its totient is φ = 506829162.

The previous prime is 506829157. The next prime is 506829203. The reversal of 506829163 is 361928605.

It is an a-pointer prime, because the next prime (506829203) can be obtained adding 506829163 to its sum of digits (40).

It is a weak prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-506829163 is a prime.

It is equal to p_26696236 and since 506829163 and 26696236 have the same sum of digits, it is a Honaker prime.

It is not a weakly prime, because it can be changed into another prime (506829133) 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 as a sum of consecutive naturals, namely, 253414581 + 253414582.

It is an arithmetic number, because the mean of its divisors is an integer number (253414582).

Almost surely, 2^506829163 is an apocalyptic number.

506829163 is a deficient number, since it is larger than the sum of its proper divisors (1).

506829163 is an equidigital number, since it uses as much as digits as its factorization.

506829163 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 77760, while the sum is 40.

The square root of 506829163 is about 22512.8666100077. The cubic root of 506829163 is about 797.2977382332.

The spelling of 506829163 in words is "five hundred six million, eight hundred twenty-nine thousand, one hundred sixty-three".