501580816 has 45 divisors (see below), whose sum is σ = 1070293693. Its totient is φ = 227543360.

The previous prime is 501580811. The next prime is 501580823. The reversal of 501580816 is 618085105.

The square root of 501580816 is 22396.

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., 407878416 + 93702400 = 20196^2 + 9680^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (501580811) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 985170 + ... + 985678.

Almost surely, 2^501580816 is an apocalyptic number.

501580816 is the 22396-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 501580816

501580816 is an abundant number, since it is smaller than the sum of its proper divisors (568712877).

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

501580816 is an equidigital number, since it uses as much as digits as its factorization.

501580816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1048 (or 522 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 34.

The cubic root of 501580816 is about 794.5361089936.

The spelling of 501580816 in words is "five hundred one million, five hundred eighty thousand, eight hundred sixteen".