540540593 has 2 divisors, whose sum is σ = 540540594. Its totient is φ = 540540592.

The previous prime is 540540569. The next prime is 540540613. The reversal of 540540593 is 395045045.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 446392384 + 94148209 = 21128^2 + 9703^2 .

It is a cyclic number.

It is not a de Polignac number, because 540540593 - 2¹⁶ = 540475057 is a prime.

It is a super-3 number, since 3×540540593³ (a number of 27 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (540540563) 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, 270270296 + 270270297.

It is an arithmetic number, because the mean of its divisors is an integer number (270270297).

Almost surely, 2^540540593 is an apocalyptic number.

It is an amenable number.

540540593 is a deficient number, since it is larger than the sum of its proper divisors (1).

540540593 is an equidigital number, since it uses as much as digits as its factorization.

540540593 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 54000, while the sum is 35.

The square root of 540540593 is about 23249.5288769472. The cubic root of 540540593 is about 814.5969341944.

The spelling of 540540593 in words is "five hundred forty million, five hundred forty thousand, five hundred ninety-three".