516256 has 48 divisors (see below), whose sum is σ = 1174824. Its totient is φ = 221184.

The previous prime is 516253. The next prime is 516277. The reversal of 516256 is 652615.

It can be written as a sum of positive squares in 4 ways, for example, as 435600 + 80656 = 660^2 + 284^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 516256.

It is not an unprimeable number, because it can be changed into a prime (516251) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7036 + ... + 7108.

2⁵¹⁶²⁵⁶ 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 516256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (587412).

516256 is an abundant number, since it is smaller than the sum of its proper divisors (658568).

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

516256 is a wasteful number, since it uses less digits than its factorization.

516256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113 (or 105 counting only the distinct ones).

The product of its digits is 1800, while the sum is 25.

The square root of 516256 is about 718.5095684819. The cubic root of 516256 is about 80.2210552861.

It can be divided in two parts, 5 and 16256, that added together give a palindrome (16261).

The spelling of 516256 in words is "five hundred sixteen thousand, two hundred fifty-six".