581430650256 has 225 divisors, whose sum is σ = 1716616571131. Its totient is φ = 189994586688.

The previous prime is 581430650239. The next prime is 581430650279. The reversal of 581430650256 is 652056034185.

The square root of 581430650256 is 762516.

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

581430650256 is a `hidden beast` number, since 58 + 1 + 43 + 0 + 6 + 502 + 56 = 666.

It is a super-2 number, since 2×581430650256² (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 1619583805 + ... + 1619584163.

Almost surely, 2^581430650256 is an apocalyptic number.

581430650256 is the 762516-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 581430650256

581430650256 is an abundant number, since it is smaller than the sum of its proper divisors (1135185920875).

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

581430650256 is an frugal number, since it uses more digits than its factorization.

581430650256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 856 (or 423 counting only the distinct ones).

The product of its (nonzero) digits is 864000, while the sum is 45.

The spelling of 581430650256 in words is "five hundred eighty-one billion, four hundred thirty million, six hundred fifty thousand, two hundred fifty-six".