540003315105 has 48 divisors (see below), whose sum is σ = 939178933056. Its totient is φ = 287026058880.

The previous prime is 540003315073. The next prime is 540003315167. The reversal of 540003315105 is 501513300045.

540003315105 is a `hidden beast` number, since 540 + 0 + 0 + 3 + 3 + 15 + 105 = 666.

It is not a de Polignac number, because 540003315105 - 2⁵ = 540003315073 is a prime.

It is a super-2 number, since 2×540003315105² (a number of 24 digits) contains 22 as substring.

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 56640919 + ... + 56650451.

It is an arithmetic number, because the mean of its divisors is an integer number (19566227772).

Almost surely, 2^540003315105 is an apocalyptic number.

It is an amenable number.

540003315105 is a deficient number, since it is larger than the sum of its proper divisors (399175617951).

540003315105 is a wasteful number, since it uses less digits than its factorization.

540003315105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13678 (or 13675 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 27.

The spelling of 540003315105 in words is "five hundred forty billion, three million, three hundred fifteen thousand, one hundred five".