540540071 has 2 divisors, whose sum is σ = 540540072. Its totient is φ = 540540070.

The previous prime is 540540059. The next prime is 540540079. The reversal of 540540071 is 170045045.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 540540071 - 2¹⁰ = 540539047 is a prime.

It is a super-3 number, since 3×540540071³ (a number of 27 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 540540071.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (540540079) 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, 270270035 + 270270036.

It is an arithmetic number, because the mean of its divisors is an integer number (270270036).

Almost surely, 2^540540071 is an apocalyptic number.

540540071 is a deficient number, since it is larger than the sum of its proper divisors (1).

540540071 is an equidigital number, since it uses as much as digits as its factorization.

540540071 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2800, while the sum is 26.

The square root of 540540071 is about 23249.5176509105. The cubic root of 540540071 is about 814.5966719756.

The spelling of 540540071 in words is "five hundred forty million, five hundred forty thousand, seventy-one".