827128808309 has 8 divisors (see below), whose sum is σ = 855684256728. Its totient is φ = 798899708160.

The previous prime is 827128808299. The next prime is 827128808329. The reversal of 827128808309 is 903808821728.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 379821992209 + 447306816100 = 616297^2 + 668810^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-827128808309 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (827128808329) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 81581912 + ... + 81592049.

It is an arithmetic number, because the mean of its divisors is an integer number (106960532091).

Almost surely, 2^827128808309 is an apocalyptic number.

It is an amenable number.

827128808309 is a deficient number, since it is larger than the sum of its proper divisors (28555448419).

827128808309 is a wasteful number, since it uses less digits than its factorization.

827128808309 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163174135.

The product of its (nonzero) digits is 3096576, while the sum is 56.

The spelling of 827128808309 in words is "eight hundred twenty-seven billion, one hundred twenty-eight million, eight hundred eight thousand, three hundred nine".