501864563776 has 63 divisors (see below), whose sum is σ = 1058118221199. Its totient is φ = 236126220288.

The previous prime is 501864563741. The next prime is 501864563803. The reversal of 501864563776 is 677365468105.

The square root of 501864563776 is 708424.

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

It can be written as a sum of positive squares in 4 ways, for example, as 328329000000 + 173535563776 = 573000^2 + 416576^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 501864563776.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 96343060 + ... + 96348268.

Almost surely, 2^501864563776 is an apocalyptic number.

501864563776 is the 708424-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 501864563776

501864563776 is an abundant number, since it is smaller than the sum of its proper divisors (556253657423).

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

501864563776 is an frugal number, since it uses more digits than its factorization.

501864563776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10464 (or 5228 counting only the distinct ones).

The product of its (nonzero) digits is 25401600, while the sum is 58.

The spelling of 501864563776 in words is "five hundred one billion, eight hundred sixty-four million, five hundred sixty-three thousand, seven hundred seventy-six".