506585605 has 8 divisors (see below), whose sum is σ = 608290200. Its totient is φ = 405010176.

The previous prime is 506585587. The next prime is 506585707.

It is a happy number.

506585605 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 4 ways, for example, as 197318209 + 309267396 = 14047^2 + 17586^2 .

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 506585605 - 2¹⁹ = 506061317 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 23440 + ... + 39529.

It is an arithmetic number, because the mean of its divisors is an integer number (76036275).

Almost surely, 2^506585605 is an apocalyptic number.

It is an amenable number.

506585605 is a deficient number, since it is larger than the sum of its proper divisors (101704595).

506585605 is a wasteful number, since it uses less digits than its factorization.

506585605 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64583.

The product of its (nonzero) digits is 180000, while the sum is 40.

The square root of 506585605 is about 22507.4566532960. The cubic root of 506585605 is about 797.1700033073.

The spelling of 506585605 in words is "five hundred six million, five hundred eighty-five thousand, six hundred five".