512016 has 20 divisors (see below), whose sum is σ = 1322832. Its totient is φ = 170656.

The previous prime is 512011. The next prime is 512021. The reversal of 512016 is 610215.

It is an interprime number because it is at equal distance from previous prime (512011) and next prime (512021).

It is a junction number, because it is equal to n+sod(n) for n = 511986 and 512004.

It is not an unprimeable number, because it can be changed into a prime (512011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5286 + ... + 5381.

2⁵¹²⁰¹⁶ is an apocalyptic number.

It is an amenable number.

512016 is an abundant number, since it is smaller than the sum of its proper divisors (810816).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

512016 is a wasteful number, since it uses less digits than its factorization.

512016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10678 (or 10672 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 15.

The square root of 512016 is about 715.5529330525. The cubic root of 512016 is about 80.0008333247. Note that the first 3 decimals are identical.

It can be divided in two parts, 5 and 12016, that added together give a palindrome (12021).

The spelling of 512016 in words is "five hundred twelve thousand, sixteen".