821271953125 has 32 divisors (see below), whose sum is σ = 1105556935392. Its totient is φ = 606477000000.

The previous prime is 821271953077. The next prime is 821271953143. The reversal of 821271953125 is 521359172128.

It can be written as a sum of positive squares in 16 ways, for example, as 245565838116 + 575706115009 = 495546^2 + 758753^2 .

It is not a de Polignac number, because 821271953125 - 2¹⁹ = 821271428837 is a prime.

It is a congruent number.

It is an unprimeable number.

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 in 31 ways as a sum of consecutive naturals, for example, 611307 + ... + 1419943.

It is an arithmetic number, because the mean of its divisors is an integer number (34548654231).

Almost surely, 2^821271953125 is an apocalyptic number.

It is an amenable number.

821271953125 is a deficient number, since it is larger than the sum of its proper divisors (284284982267).

821271953125 is an frugal number, since it uses more digits than its factorization.

821271953125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 808685 (or 808655 counting only the distinct ones).

The product of its digits is 302400, while the sum is 46.

The spelling of 821271953125 in words is "eight hundred twenty-one billion, two hundred seventy-one million, nine hundred fifty-three thousand, one hundred twenty-five".