882835541110013 has 2 divisors, whose sum is σ = 882835541110014. Its totient is φ = 882835541110012.

The previous prime is 882835541110001. The next prime is 882835541110021. The reversal of 882835541110013 is 310011145538288.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 587481516568324 + 295354024541689 = 24238018^2 + 17185867^2 .

It is a cyclic number.

It is not a de Polignac number, because 882835541110013 - 2³⁸ = 882560663203069 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (882835541110073) 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, 441417770555006 + 441417770555007.

It is an arithmetic number, because the mean of its divisors is an integer number (441417770555007).

Almost surely, 2^{882835541110013} is an apocalyptic number.

It is an amenable number.

882835541110013 is a deficient number, since it is larger than the sum of its proper divisors (1).

882835541110013 is an equidigital number, since it uses as much as digits as its factorization.

882835541110013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 921600, while the sum is 50.

The spelling of 882835541110013 in words is "eight hundred eighty-two trillion, eight hundred thirty-five billion, five hundred forty-one million, one hundred ten thousand, thirteen".