827957216249 has 2 divisors, whose sum is σ = 827957216250. Its totient is φ = 827957216248.

The previous prime is 827957216239. The next prime is 827957216291. The reversal of 827957216249 is 942612759728.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 756390265849 + 71566950400 = 869707^2 + 267520^2 .

It is a cyclic number.

It is not a de Polignac number, because 827957216249 - 2²⁰ = 827956167673 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 827957216191 and 827957216200.

It is not a weakly prime, because it can be changed into another prime (827957216209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 413978608124 + 413978608125.

It is an arithmetic number, because the mean of its divisors is an integer number (413978608125).

Almost surely, 2^827957216249 is an apocalyptic number.

It is an amenable number.

827957216249 is a deficient number, since it is larger than the sum of its proper divisors (1).

827957216249 is an equidigital number, since it uses as much as digits as its factorization.

827957216249 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 30481920, while the sum is 62.

The spelling of 827957216249 in words is "eight hundred twenty-seven billion, nine hundred fifty-seven million, two hundred sixteen thousand, two hundred forty-nine".