540545509 has 24 divisors (see below), whose sum is σ = 640714200. Its totient is φ = 454616064.

The previous prime is 540545503. The next prime is 540545521. The reversal of 540545509 is 905545045.

It can be written as a sum of positive squares in 4 ways, for example, as 55577025 + 484968484 = 7455^2 + 22022^2 .

It is not a de Polignac number, because 540545509 - 2³ = 540545501 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (540545501) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1248157 + ... + 1248589.

It is an arithmetic number, because the mean of its divisors is an integer number (26696425).

Almost surely, 2^540545509 is an apocalyptic number.

It is an amenable number.

540545509 is a deficient number, since it is larger than the sum of its proper divisors (100168691).

540545509 is a wasteful number, since it uses less digits than its factorization.

540545509 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 869 (or 862 counting only the distinct ones).

The product of its (nonzero) digits is 90000, while the sum is 37.

The square root of 540545509 is about 23249.6345992792. The cubic root of 540545509 is about 814.5994036644.

The spelling of 540545509 in words is "five hundred forty million, five hundred forty-five thousand, five hundred nine".