540351333321201 has 12 divisors (see below), whose sum is σ = 780584174873412. Its totient is φ = 360198825255936.

The previous prime is 540351333321179. The next prime is 540351333321203. The reversal of 540351333321201 is 102123333153045.

540351333321201 is a `hidden beast` number, since 5 + 40 + 3 + 51 + 33 + 332 + 1 + 201 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 189735445253601 + 350615888067600 = 13774449^2 + 18724740^2 .

It is not a de Polignac number, because 540351333321201 - 2¹³ = 540351333313009 is a prime.

It is a super-2 number, since 2×540351333321201² (a number of 30 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (540351333321203) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2949649836 + ... + 2949833021.

It is an arithmetic number, because the mean of its divisors is an integer number (65048681239451).

Almost surely, 2^{540351333321201} is an apocalyptic number.

It is an amenable number.

540351333321201 is a deficient number, since it is larger than the sum of its proper divisors (240232841552211).

540351333321201 is a wasteful number, since it uses less digits than its factorization.

540351333321201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5899493040 (or 5899493037 counting only the distinct ones).

The product of its (nonzero) digits is 97200, while the sum is 36.

Adding to 540351333321201 its reverse (102123333153045), we get a palindrome (642474666474246).

The spelling of 540351333321201 in words is "five hundred forty trillion, three hundred fifty-one billion, three hundred thirty-three million, three hundred twenty-one thousand, two hundred one".