540011993 has 2 divisors, whose sum is σ = 540011994. Its totient is φ = 540011992.

The previous prime is 540011959. The next prime is 540012023. The reversal of 540011993 is 399110045.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 539958169 + 53824 = 23237^2 + 232^2 .

It is a cyclic number.

It is not a de Polignac number, because 540011993 - 2¹⁴ = 539995609 is a prime.

It is a super-2 number, since 2×540011993² = 583225905167664098, which contains 22 as substring.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (540011903) 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, 270005996 + 270005997.

It is an arithmetic number, because the mean of its divisors is an integer number (270005997).

Almost surely, 2^540011993 is an apocalyptic number.

It is an amenable number.

540011993 is a deficient number, since it is larger than the sum of its proper divisors (1).

540011993 is an equidigital number, since it uses as much as digits as its factorization.

540011993 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4860, while the sum is 32.

The square root of 540011993 is about 23238.1581240855. The cubic root of 540011993 is about 814.3313134543.

The spelling of 540011993 in words is "five hundred forty million, eleven thousand, nine hundred ninety-three".