506385069 has 16 divisors (see below), whose sum is σ = 716189760. Its totient is φ = 317157120.

The previous prime is 506385059. The next prime is 506385107. The reversal of 506385069 is 960583605.

506385069 = 7497² + 7498² + ... + 7505².

It is not a de Polignac number, because 506385069 - 2¹⁷ = 506253997 is a prime.

It is a super-2 number, since 2×506385069² = 512851676212269522, which contains 22 as substring.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 506385069.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (506385049) 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 15 ways as a sum of consecutive naturals, for example, 20427 + ... + 37815.

It is an arithmetic number, because the mean of its divisors is an integer number (44761860).

Almost surely, 2^506385069 is an apocalyptic number.

It is an amenable number.

506385069 is a deficient number, since it is larger than the sum of its proper divisors (209804691).

506385069 is a wasteful number, since it uses less digits than its factorization.

506385069 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17980.

The product of its (nonzero) digits is 194400, while the sum is 42.

The square root of 506385069 is about 22503.0013331555. The cubic root of 506385069 is about 797.0648006979.

The spelling of 506385069 in words is "five hundred six million, three hundred eighty-five thousand, sixty-nine".