852421953289 has 9 divisors (see below), whose sum is σ = 899666060583. Its totient is φ = 807541021152.

The previous prime is 852421953247. The next prime is 852421953329. The reversal of 852421953289 is 982359124258.

The square root of 852421953289 is 923267.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 519502185225 + 332919768064 = 720765^2 + 576992^2 .

It is not a de Polignac number, because 852421953289 - 2⁹ = 852421952777 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (852421953209) 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 in 8 ways as a sum of consecutive naturals, for example, 17517777 + ... + 17566369.

Almost surely, 2^852421953289 is an apocalyptic number.

852421953289 is the 923267-th square number.

852421953289 is the 461634-th centered octagonal number.

It is an amenable number.

852421953289 is a deficient number, since it is larger than the sum of its proper divisors (47244107294).

852421953289 is an frugal number, since it uses more digits than its factorization.

852421953289 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97224 (or 48612 counting only the distinct ones).

The product of its digits is 12441600, while the sum is 58.

The spelling of 852421953289 in words is "eight hundred fifty-two billion, four hundred twenty-one million, nine hundred fifty-three thousand, two hundred eighty-nine".