505543752256 has 189 divisors, whose sum is σ = 1076764849641. Its totient is φ = 235488499200.

The previous prime is 505543752229. The next prime is 505543752257. The reversal of 505543752256 is 652257345505.

The square root of 505543752256 is 711016.

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., 16439342656 + 489104409600 = 128216^2 + 699360^2 .

It is not an unprimeable number, because it can be changed into a prime (505543752257) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 8287602466 + ... + 8287602526.

Almost surely, 2^505543752256 is an apocalyptic number.

505543752256 is the 711016-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 505543752256

505543752256 is an abundant number, since it is smaller than the sum of its proper divisors (571221097385).

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

505543752256 is an frugal number, since it uses more digits than its factorization.

505543752256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 290 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 6300000, while the sum is 49.

Multiplying 505543752256 by its sum of digits (49), we get a square (24771643860544 = 4977112²).

The spelling of 505543752256 in words is "five hundred five billion, five hundred forty-three million, seven hundred fifty-two thousand, two hundred fifty-six".