511812 has 48 divisors (see below), whose sum is σ = 1518720. Its totient is φ = 146016.

The previous prime is 511811. The next prime is 511831. The reversal of 511812 is 218115.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 511812.

It is not an unprimeable number, because it can be changed into a prime (511811) 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 15 ways as a sum of consecutive naturals, for example, 418 + ... + 1094.

It is an arithmetic number, because the mean of its divisors is an integer number (31640).

2⁵¹¹⁸¹² is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 511812, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (759360).

511812 is an abundant number, since it is smaller than the sum of its proper divisors (1006908).

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

511812 is a wasteful number, since it uses less digits than its factorization.

511812 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 697 (or 689 counting only the distinct ones).

The product of its digits is 80, while the sum is 18.

The square root of 511812 is about 715.4103717448. The cubic root of 511812 is about 79.9902071346.

Adding to 511812 its reverse (218115), we get a palindrome (729927).

It can be divided in two parts, 5118 and 12, that multiplied together give a palindrome (61416).

The spelling of 511812 in words is "five hundred eleven thousand, eight hundred twelve".