503804683264 has 99 divisors (see below), whose sum is σ = 1034191949763. Its totient is φ = 245304115200.

The previous prime is 503804683229. The next prime is 503804683301. The reversal of 503804683264 is 462386408305.

The square root of 503804683264 is 709792.

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 193065329664 + 310739353600 = 439392^2 + 557440^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 931246834 + ... + 931247374.

Almost surely, 2^503804683264 is an apocalyptic number.

503804683264 is the 709792-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 503804683264

503804683264 is an abundant number, since it is smaller than the sum of its proper divisors (530387266499).

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

503804683264 is an frugal number, since it uses more digits than its factorization.

503804683264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1184 (or 584 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 49.

Multiplying 503804683264 by its sum of digits (49), we get a square (24686429479936 = 4968544²).

The spelling of 503804683264 in words is "five hundred three billion, eight hundred four million, six hundred eighty-three thousand, two hundred sixty-four".