540070120800013 has 2 divisors, whose sum is σ = 540070120800014. Its totient is φ = 540070120800012.

The previous prime is 540070120799849. The next prime is 540070120800017. The reversal of 540070120800013 is 310008021070045.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 292535972164489 + 247534148635524 = 17103683^2 + 15733218^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-540070120800013 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (540070120800017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 270035060400006 + 270035060400007.

It is an arithmetic number, because the mean of its divisors is an integer number (270035060400007).

Almost surely, 2^{540070120800013} is an apocalyptic number.

It is an amenable number.

540070120800013 is a deficient number, since it is larger than the sum of its proper divisors (1).

540070120800013 is an equidigital number, since it uses as much as digits as its factorization.

540070120800013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6720, while the sum is 31.

Adding to 540070120800013 its reverse (310008021070045), we get a palindrome (850078141870058).

The spelling of 540070120800013 in words is "five hundred forty trillion, seventy billion, one hundred twenty million, eight hundred thousand, thirteen".