506882585 has 16 divisors (see below), whose sum is σ = 664552512. Its totient is φ = 368088000.

The previous prime is 506882531. The next prime is 506882587. The reversal of 506882585 is 585288605.

It is not a de Polignac number, because 506882585 - 2¹⁰ = 506881561 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (506882587) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31982 + ... + 45128.

It is an arithmetic number, because the mean of its divisors is an integer number (41534532).

Almost surely, 2^506882585 is an apocalyptic number.

506882585 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

506882585 is a deficient number, since it is larger than the sum of its proper divisors (157669927).

506882585 is a wasteful number, since it uses less digits than its factorization.

506882585 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13864.

The product of its (nonzero) digits is 768000, while the sum is 47.

The square root of 506882585 is about 22514.0530558138. The cubic root of 506882585 is about 797.3257501331.

The spelling of 506882585 in words is "five hundred six million, eight hundred eighty-two thousand, five hundred eighty-five".