540511205 has 16 divisors (see below), whose sum is σ = 704697840. Its totient is φ = 395609088.

The previous prime is 540511187. The next prime is 540511211. The reversal of 540511205 is 502115045.

It is a happy number.

540511205 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 87928129 + 452583076 = 9377^2 + 21274^2 .

It is a cyclic number.

It is not a de Polignac number, because 540511205 - 2¹⁶ = 540445669 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29450 + ... + 44139.

It is an arithmetic number, because the mean of its divisors is an integer number (44043615).

Almost surely, 2^540511205 is an apocalyptic number.

It is an amenable number.

540511205 is a deficient number, since it is larger than the sum of its proper divisors (164186635).

540511205 is a wasteful number, since it uses less digits than its factorization.

540511205 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73720.

The product of its (nonzero) digits is 1000, while the sum is 23.

The square root of 540511205 is about 23248.8968555499. The cubic root of 540511205 is about 814.5821713139.

The spelling of 540511205 in words is "five hundred forty million, five hundred eleven thousand, two hundred five".