540305003 has 16 divisors (see below), whose sum is σ = 639576000. Its totient is φ = 446595072.

The previous prime is 540304991. The next prime is 540305009. The reversal of 540305003 is 300503045.

It is not a de Polignac number, because 540305003 - 2⁶ = 540304939 is a prime.

It is not an unprimeable number, because it can be changed into a prime (540305009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 285083 + ... + 286971.

It is an arithmetic number, because the mean of its divisors is an integer number (39973500).

Almost surely, 2^540305003 is an apocalyptic number.

540305003 is a deficient number, since it is larger than the sum of its proper divisors (99270997).

540305003 is a wasteful number, since it uses less digits than its factorization.

540305003 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3334.

The product of its (nonzero) digits is 900, while the sum is 20.

The square root of 540305003 is about 23244.4617704949. The cubic root of 540305003 is about 814.4785719586.

Adding to 540305003 its reverse (300503045), we get a palindrome (840808048).

The spelling of 540305003 in words is "five hundred forty million, three hundred five thousand, three".