882611778108601 has 2 divisors, whose sum is σ = 882611778108602. Its totient is φ = 882611778108600.

The previous prime is 882611778108583. The next prime is 882611778108607. The reversal of 882611778108601 is 106801877116288.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 831321129369600 + 51290648739001 = 28832640^2 + 7161749^2 .

It is a cyclic number.

It is not a de Polignac number, because 882611778108601 - 2⁵ = 882611778108569 is a prime.

It is not a weakly prime, because it can be changed into another prime (882611778108607) 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, 441305889054300 + 441305889054301.

It is an arithmetic number, because the mean of its divisors is an integer number (441305889054301).

Almost surely, 2^{882611778108601} is an apocalyptic number.

It is an amenable number.

882611778108601 is a deficient number, since it is larger than the sum of its proper divisors (1).

882611778108601 is an equidigital number, since it uses as much as digits as its factorization.

882611778108601 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 14450688, while the sum is 64.

The spelling of 882611778108601 in words is "eight hundred eighty-two trillion, six hundred eleven billion, seven hundred seventy-eight million, one hundred eight thousand, six hundred one".