540811689201 has 81 divisors (see below), whose sum is σ = 944341366059. Its totient is φ = 308796981696.

The previous prime is 540811689199. The next prime is 540811689241. The reversal of 540811689201 is 102986118045.

It is a happy number.

The square root of 540811689201 is 735399.

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

540811689201 is a `hidden beast` number, since 540 + 8 + 1 + 1 + 6 + 89 + 20 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 539145090225 + 1666598976 = 734265^2 + 40824^2 .

It is a tau number, because it is divible by the number of its divisors (81).

It is not a de Polignac number, because 540811689201 - 2¹ = 540811689199 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (540811689241) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 416970585 + ... + 416971881.

Almost surely, 2^540811689201 is an apocalyptic number.

540811689201 is the 735399-th square number.

540811689201 is the 367700-th centered octagonal number.

It is an amenable number.

540811689201 is a deficient number, since it is larger than the sum of its proper divisors (403529676858).

540811689201 is an frugal number, since it uses more digits than its factorization.

540811689201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2632 (or 1307 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 45.

The spelling of 540811689201 in words is "five hundred forty billion, eight hundred eleven million, six hundred eighty-nine thousand, two hundred one".