540135040511 has 8 divisors (see below), whose sum is σ = 591703660800. Its totient is φ = 488977326040.

The previous prime is 540135040499. The next prime is 540135040519. The reversal of 540135040511 is 115040531045.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 540135040511 - 2⁶ = 540135040447 is a prime.

It is a super-2 number, since 2×540135040511² (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (540135040519) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 102723701 + ... + 102728958.

It is an arithmetic number, because the mean of its divisors is an integer number (73962957600).

Almost surely, 2^540135040511 is an apocalyptic number.

540135040511 is a deficient number, since it is larger than the sum of its proper divisors (51568620289).

540135040511 is a wasteful number, since it uses less digits than its factorization.

540135040511 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205452909.

The product of its (nonzero) digits is 6000, while the sum is 29.

Adding to 540135040511 its reverse (115040531045), we get a palindrome (655175571556).

The spelling of 540135040511 in words is "five hundred forty billion, one hundred thirty-five million, forty thousand, five hundred eleven".