493331230745721 has 81 divisors (see below), whose sum is σ = 760266370382701. Its totient is φ = 308199971682048.

The previous prime is 493331230745581. The next prime is 493331230745761. The reversal of 493331230745721 is 127547032133394.

The square root of 493331230745721 is 22211061.

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

493331230745721 is a `hidden beast` number, since 4 + 9 + 3 + 3 + 31 + 2 + 30 + 7 + 4 + 572 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 25761360069225 + 467569870676496 = 5075565^2 + 21623364^2 .

It is not a de Polignac number, because 493331230745721 - 2¹³ = 493331230737529 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (493331230745761) by changing a digit.

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 80 ways as a sum of consecutive naturals, for example, 304713545050 + ... + 304713546668.

Almost surely, 2^{493331230745721} is an apocalyptic number.

493331230745721 is the 22211061-st square number.

493331230745721 is the 11105531-st centered octagonal number.

It is an amenable number.

493331230745721 is a deficient number, since it is larger than the sum of its proper divisors (266935139636980).

493331230745721 is an frugal number, since it uses more digits than its factorization.

493331230745721 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3816 (or 1908 counting only the distinct ones).

The product of its (nonzero) digits is 11430720, while the sum is 54.

The spelling of 493331230745721 in words is "four hundred ninety-three trillion, three hundred thirty-one billion, two hundred thirty million, seven hundred forty-five thousand, seven hundred twenty-one".