540506053725563 has 2 divisors, whose sum is σ = 540506053725564. Its totient is φ = 540506053725562.

The previous prime is 540506053725493. The next prime is 540506053725637. The reversal of 540506053725563 is 365527350605045.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 540506053725563 - 2²⁶ = 540505986616699 is a prime.

It is a super-2 number, since 2×540506053725563² (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 540506053725499 and 540506053725508.

It is not a weakly prime, because it can be changed into another prime (540506056725563) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 270253026862781 + 270253026862782.

It is an arithmetic number, because the mean of its divisors is an integer number (270253026862782).

Almost surely, 2^{540506053725563} is an apocalyptic number.

540506053725563 is a deficient number, since it is larger than the sum of its proper divisors (1).

540506053725563 is an equidigital number, since it uses as much as digits as its factorization.

540506053725563 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 56700000, while the sum is 56.

The spelling of 540506053725563 in words is "five hundred forty trillion, five hundred six billion, fifty-three million, seven hundred twenty-five thousand, five hundred sixty-three".