503828816481 has 27 divisors (see below), whose sum is σ = 731720485587. Its totient is φ = 334064507760.

The previous prime is 503828816471. The next prime is 503828816483. The reversal of 503828816481 is 184618828305.

The square root of 503828816481 is 709809.

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

503828816481 is a `hidden beast` number, since 5 + 0 + 3 + 82 + 8 + 81 + 6 + 481 = 666.

It can be written as a sum of positive squares in only one way, i.e., 331786368081 + 172042448400 = 576009^2 + 414780^2 .

It is not a de Polignac number, because 503828816481 - 2⁹ = 503828815969 is a prime.

It is a super-2 number, since 2×503828816481² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (503828816483) 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, 474861691 + ... + 474862751.

Almost surely, 2^503828816481 is an apocalyptic number.

503828816481 is the 709809-th square number.

503828816481 is the 354905-th centered octagonal number.

It is an amenable number.

503828816481 is a deficient number, since it is larger than the sum of its proper divisors (227891669106).

503828816481 is an frugal number, since it uses more digits than its factorization.

503828816481 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2574 (or 1287 counting only the distinct ones).

The product of its (nonzero) digits is 2949120, while the sum is 54.

The spelling of 503828816481 in words is "five hundred three billion, eight hundred twenty-eight million, eight hundred sixteen thousand, four hundred eighty-one".