540240251121 has 12 divisors (see below), whose sum is σ = 780474346548. Its totient is φ = 360101405664.

The previous prime is 540240251101. The next prime is 540240251123. The reversal of 540240251121 is 121152042045.

It is a happy number.

540240251121 is a `hidden beast` number, since 5 + 402 + 4 + 0 + 251 + 1 + 2 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 451531585521 + 88708665600 = 671961^2 + 297840^2 .

It is a de Polignac number, because none of the positive numbers 2^k-540240251121 is a prime.

It is a super-3 number, since 3×540240251121³ (a number of 36 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (540240251123) 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 11 ways as a sum of consecutive naturals, for example, 4838550 + ... + 4948943.

It is an arithmetic number, because the mean of its divisors is an integer number (65039528879).

Almost surely, 2^540240251121 is an apocalyptic number.

It is an amenable number.

540240251121 is a deficient number, since it is larger than the sum of its proper divisors (240234095427).

540240251121 is a wasteful number, since it uses less digits than its factorization.

540240251121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9793632 (or 9793629 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

Adding to 540240251121 its reverse (121152042045), we get a palindrome (661392293166).

The spelling of 540240251121 in words is "five hundred forty billion, two hundred forty million, two hundred fifty-one thousand, one hundred twenty-one".