541323648009 has 27 divisors (see below), whose sum is σ = 817462865037. Its totient is φ = 345159518616.

The previous prime is 541323648007. The next prime is 541323648017. The reversal of 541323648009 is 900846323145.

The square root of 541323648009 is 735747.

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

541323648009 is a `hidden beast` number, since 5 + 4 + 132 + 36 + 480 + 0 + 9 = 666.

It is not a de Polignac number, because 541323648009 - 2¹ = 541323648007 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (541323648007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 50761212 + ... + 50771874.

Almost surely, 2^541323648009 is an apocalyptic number.

541323648009 is the 735747-th square number.

541323648009 is the 367874-th centered octagonal number.

It is an amenable number.

541323648009 is a deficient number, since it is larger than the sum of its proper divisors (276139217028).

541323648009 is an frugal number, since it uses more digits than its factorization.

541323648009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21378 (or 10689 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 541323648009 in words is "five hundred forty-one billion, three hundred twenty-three million, six hundred forty-eight thousand, nine".