511936 has 28 divisors (see below), whose sum is σ = 1071880. Its totient is φ = 241920.

The previous prime is 511933. The next prime is 511939. The reversal of 511936 is 639115.

It is an interprime number because it is at equal distance from previous prime (511933) and next prime (511939).

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 511936.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (511933) 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, 1006 + ... + 1426.

2⁵¹¹⁹³⁶ 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 511936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (535940).

511936 is an abundant number, since it is smaller than the sum of its proper divisors (559944).

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

511936 is a wasteful number, since it uses less digits than its factorization.

511936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 452 (or 442 counting only the distinct ones).

The product of its digits is 810, while the sum is 25.

The square root of 511936 is about 715.4970300428. The cubic root of 511936 is about 79.9966665278.

The spelling of 511936 in words is "five hundred eleven thousand, nine hundred thirty-six".