540787993 has 2 divisors, whose sum is σ = 540787994. Its totient is φ = 540787992.

The previous prime is 540787939. The next prime is 540788009. The reversal of 540787993 is 399787045.

Together with previous prime (540787939) it forms an Ormiston pair, because they use the same digits, order apart.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 331349209 + 209438784 = 18203^2 + 14472^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-540787993 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 540787993.

It is not a weakly prime, because it can be changed into another prime (540787193) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 270393996 + 270393997.

It is an arithmetic number, because the mean of its divisors is an integer number (270393997).

Almost surely, 2^540787993 is an apocalyptic number.

It is an amenable number.

540787993 is a deficient number, since it is larger than the sum of its proper divisors (1).

540787993 is an equidigital number, since it uses as much as digits as its factorization.

540787993 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1905120, while the sum is 52.

The square root of 540787993 is about 23254.8488062167. The cubic root of 540787993 is about 814.7211928505.

The spelling of 540787993 in words is "five hundred forty million, seven hundred eighty-seven thousand, nine hundred ninety-three".