505530256 has 135 divisors (see below), whose sum is σ = 1269764433. Its totient is φ = 194261760.

The previous prime is 505530227. The next prime is 505530293. The reversal of 505530256 is 652035505.

The square root of 505530256 is 22484.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 286963600 + 218566656 = 16940^2 + 14784^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 6925036 + ... + 6925108.

Almost surely, 2^505530256 is an apocalyptic number.

505530256 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

505530256 is the 22484-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 505530256

505530256 is an abundant number, since it is smaller than the sum of its proper divisors (764234177).

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

505530256 is a wasteful number, since it uses less digits than its factorization.

505530256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 22500, while the sum is 31.

The cubic root of 505530256 is about 796.6160479345.

Multiplying 505530256 by its product of nonzero digits (22500), we get a square (11374430760000 = 3372600²).

The spelling of 505530256 in words is "five hundred five million, five hundred thirty thousand, two hundred fifty-six".