882257352001 has 2 divisors, whose sum is σ = 882257352002. Its totient is φ = 882257352000.

The previous prime is 882257351953. The next prime is 882257352013. The reversal of 882257352001 is 100253752288.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 819857811600 + 62399540401 = 905460^2 + 249799^2 .

It is a cyclic number.

It is not a de Polignac number, because 882257352001 - 2¹⁵ = 882257319233 is a prime.

It is not a weakly prime, because it can be changed into another prime (882257332001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 441128676000 + 441128676001.

It is an arithmetic number, because the mean of its divisors is an integer number (441128676001).

Almost surely, 2^882257352001 is an apocalyptic number.

It is an amenable number.

882257352001 is a deficient number, since it is larger than the sum of its proper divisors (1).

882257352001 is an equidigital number, since it uses as much as digits as its factorization.

882257352001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 268800, while the sum is 43.

The spelling of 882257352001 in words is "eight hundred eighty-two billion, two hundred fifty-seven million, three hundred fifty-two thousand, one".