540536511 has 16 divisors (see below), whose sum is σ = 727629824. Its totient is φ = 356910624.

The previous prime is 540536489. The next prime is 540536527. The reversal of 540536511 is 115635045.

It is not a de Polignac number, because 540536511 - 2⁷ = 540536383 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (540536551) 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 15 ways as a sum of consecutive naturals, for example, 379146 + ... + 380568.

It is an arithmetic number, because the mean of its divisors is an integer number (45476864).

Almost surely, 2^540536511 is an apocalyptic number.

540536511 is a deficient number, since it is larger than the sum of its proper divisors (187093313).

540536511 is a wasteful number, since it uses less digits than its factorization.

540536511 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2550.

The product of its (nonzero) digits is 9000, while the sum is 30.

The square root of 540536511 is about 23249.4410900563. The cubic root of 540536511 is about 814.5948836589.

The spelling of 540536511 in words is "five hundred forty million, five hundred thirty-six thousand, five hundred eleven".