540516029 has 2 divisors, whose sum is σ = 540516030. Its totient is φ = 540516028.

The previous prime is 540515981. The next prime is 540516043. The reversal of 540516029 is 920615045.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 534765625 + 5750404 = 23125^2 + 2398^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-540516029 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 540515986 and 540516004.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (540516329) by changing a digit.

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 as a sum of consecutive naturals, namely, 270258014 + 270258015.

It is an arithmetic number, because the mean of its divisors is an integer number (270258015).

Almost surely, 2^540516029 is an apocalyptic number.

It is an amenable number.

540516029 is a deficient number, since it is larger than the sum of its proper divisors (1).

540516029 is an equidigital number, since it uses as much as digits as its factorization.

540516029 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 10800, while the sum is 32.

The square root of 540516029 is about 23249.0006021764. Note that the first 3 decimals coincide. The cubic root of 540516029 is about 814.5845946572.

The spelling of 540516029 in words is "five hundred forty million, five hundred sixteen thousand, twenty-nine".