13542701759633 has 2 divisors, whose sum is σ = 13542701759634. Its totient is φ = 13542701759632.

The previous prime is 13542701759597. The next prime is 13542701759647. The reversal of 13542701759633 is 33695710724531.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 11013052862464 + 2529648897169 = 3318592^2 + 1590487^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-13542701759633 is a prime.

It is not a weakly prime, because it can be changed into another prime (13542701759033) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6771350879816 + 6771350879817.

It is an arithmetic number, because the mean of its divisors is an integer number (6771350879817).

Almost surely, 2^{13542701759633} is an apocalyptic number.

It is an amenable number.

13542701759633 is a deficient number, since it is larger than the sum of its proper divisors (1).

13542701759633 is an equidigital number, since it uses as much as digits as its factorization.

13542701759633 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 14288400, while the sum is 56.

The spelling of 13542701759633 in words is "thirteen trillion, five hundred forty-two billion, seven hundred one million, seven hundred fifty-nine thousand, six hundred thirty-three".