512985 has 16 divisors (see below), whose sum is σ = 895680. Its totient is φ = 248640.

The previous prime is 512977. The next prime is 512989. The reversal of 512985 is 589215.

It is not a de Polignac number, because 512985 - 2³ = 512977 is a prime.

It is a super-2 number, since 2×512985² = 526307220450, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (512989) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 1390 + ... + 1719.

It is an arithmetic number, because the mean of its divisors is an integer number (55980).

2⁵¹²⁹⁸⁵ is an apocalyptic number.

512985 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

512985 is a deficient number, since it is larger than the sum of its proper divisors (382695).

512985 is a wasteful number, since it uses less digits than its factorization.

512985 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3128.

The product of its digits is 3600, while the sum is 30.

The square root of 512985 is about 716.2297117545. The cubic root of 512985 is about 80.0512692197.

The spelling of 512985 in words is "five hundred twelve thousand, nine hundred eighty-five".