511056 has 120 divisors (see below), whose sum is σ = 1815360. Its totient is φ = 134784.

The previous prime is 511039. The next prime is 511057. The reversal of 511056 is 650115.

511056 is nontrivially palindromic in base 5.

It is a super-2 number, since 2×511056² = 522356470272, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (511057) by changing a digit.

511056 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 39306 + ... + 39318.

It is an arithmetic number, because the mean of its divisors is an integer number (15128).

2⁵¹¹⁰⁵⁶ is an apocalyptic number.

511056 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 511056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (907680).

511056 is an abundant number, since it is smaller than the sum of its proper divisors (1304304).

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

511056 is a wasteful number, since it uses less digits than its factorization.

511056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50 (or 25 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 18.

The square root of 511056 is about 714.8818084131. The cubic root of 511056 is about 79.9508030853.

The spelling of 511056 in words is "five hundred eleven thousand, fifty-six".