540540352523511 has 48 divisors (see below), whose sum is σ = 794708628480000. Its totient is φ = 353942609973120.

The previous prime is 540540352523497. The next prime is 540540352523527. The reversal of 540540352523511 is 115325253045045.

540540352523511 is a `hidden beast` number, since 5 + 4 + 0 + 5 + 40 + 3 + 5 + 252 + 351 + 1 = 666.

It is a de Polignac number, because none of the positive numbers 2^k-540540352523511 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (540540352523531) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8896142371 + ... + 8896203131.

It is an arithmetic number, because the mean of its divisors is an integer number (16556429760000).

Almost surely, 2^{540540352523511} is an apocalyptic number.

540540352523511 is a deficient number, since it is larger than the sum of its proper divisors (254168275956489).

540540352523511 is a wasteful number, since it uses less digits than its factorization.

540540352523511 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75204 (or 75201 counting only the distinct ones).

The product of its (nonzero) digits is 1800000, while the sum is 45.

The spelling of 540540352523511 in words is "five hundred forty trillion, five hundred forty billion, three hundred fifty-two million, five hundred twenty-three thousand, five hundred eleven".