500723281661409 has 9 divisors (see below), whose sum is σ = 723267059366163. Its totient is φ = 333815476353912.

The previous prime is 500723281661389. The next prime is 500723281661417. The reversal of 500723281661409 is 904166182327005.

It is a happy number.

The square root of 500723281661409 is 22376847.

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

500723281661409 is a `hidden beast` number, since 5 + 0 + 0 + 7 + 2 + 3 + 2 + 8 + 16 + 614 + 0 + 9 = 666.

It can be written as a sum of positive squares in only one way, i.e., 92924837901009 + 407798443760400 = 9639753^2 + 20194020^2 .

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 500723281661409 - 2¹¹ = 500723281659361 is a prime.

It is not an unprimeable number, because it can be changed into a prime (500723281661479) 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, 63401067 + ... + 70860015.

It is a 1-persistent number, because it is pandigital, but 2⋅500723281661409 = 1001446563322818 is not.

Almost surely, 2^{500723281661409} is an apocalyptic number.

500723281661409 is the 22376847-th square number.

500723281661409 is the 11188424-th centered octagonal number.

It is an amenable number.

500723281661409 is a deficient number, since it is larger than the sum of its proper divisors (222543777704754).

500723281661409 is an frugal number, since it uses more digits than its factorization.

500723281661409 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14917904 (or 7458952 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 500723281661409 in words is "five hundred trillion, seven hundred twenty-three billion, two hundred eighty-one million, six hundred sixty-one thousand, four hundred nine".