511216 has 20 divisors (see below), whose sum is σ = 1004400. Its totient is φ = 252032.

The previous prime is 511213. The next prime is 511223. The reversal of 511216 is 612115.

It is a happy number.

It is a super-2 number, since 2×511216² = 522683597312, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a zygodrome in base 2.

It is a self number, because there is not a number n which added to its sum of digits gives 511216.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (511211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1245 + ... + 1603.

It is an arithmetic number, because the mean of its divisors is an integer number (50220).

2⁵¹¹²¹⁶ is an apocalyptic number.

It is an amenable number.

511216 is a deficient number, since it is larger than the sum of its proper divisors (493184).

511216 is a wasteful number, since it uses less digits than its factorization.

511216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 456 (or 450 counting only the distinct ones).

The product of its digits is 60, while the sum is 16.

The square root of 511216 is about 714.9937062660. The cubic root of 511216 is about 79.9591458069.

It can be divided in two parts, 511 and 216, that added together give a palindrome (727).

The spelling of 511216 in words is "five hundred eleven thousand, two hundred sixteen".