540305151001513 has 2 divisors, whose sum is σ = 540305151001514. Its totient is φ = 540305151001512.

The previous prime is 540305151001459. The next prime is 540305151001541. The reversal of 540305151001513 is 315100151503045.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 307483694955369 + 232821456046144 = 17535213^2 + 15258488^2 .

It is a cyclic number.

It is not a de Polignac number, because 540305151001513 - 2²⁹ = 540304614130601 is a prime.

It is not a weakly prime, because it can be changed into another prime (540305151001543) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 270152575500756 + 270152575500757.

It is an arithmetic number, because the mean of its divisors is an integer number (270152575500757).

Almost surely, 2^{540305151001513} is an apocalyptic number.

It is an amenable number.

540305151001513 is a deficient number, since it is larger than the sum of its proper divisors (1).

540305151001513 is an equidigital number, since it uses as much as digits as its factorization.

540305151001513 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 22500, while the sum is 34.

The spelling of 540305151001513 in words is "five hundred forty trillion, three hundred five billion, one hundred fifty-one million, one thousand, five hundred thirteen".