540016205 has 12 divisors (see below), whose sum is σ = 660494100. Its totient is φ = 423850752.

The previous prime is 540016199. The next prime is 540016261. The reversal of 540016205 is 502610045.

It can be written as a sum of positive squares in 6 ways, for example, as 18852964 + 521163241 = 4342^2 + 22829^2 .

It is not a de Polignac number, because 540016205 - 2⁴ = 540016189 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5180 + ... + 33269.

It is an arithmetic number, because the mean of its divisors is an integer number (55041175).

Almost surely, 2^540016205 is an apocalyptic number.

It is an amenable number.

540016205 is a deficient number, since it is larger than the sum of its proper divisors (120477895).

540016205 is an equidigital number, since it uses as much as digits as its factorization.

540016205 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38560 (or 38507 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 23.

The square root of 540016205 is about 23238.2487507127. The cubic root of 540016205 is about 814.3334306632. Note that the first 3 decimals are identical.

It can be divided in two parts, 54001 and 6205, that added together give a palindrome (60206).

The spelling of 540016205 in words is "five hundred forty million, sixteen thousand, two hundred five".