842329306225 has 135 divisors (see below), whose sum is σ = 1210324425555. Its totient is φ = 581508576000.

The previous prime is 842329306207. The next prime is 842329306237. The reversal of 842329306225 is 522603923248.

The square root of 842329306225 is 917785.

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

842329306225 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 13 ways, for example, as 623731914289 + 218597391936 = 789767^2 + 467544^2 .

It is not a de Polignac number, because 842329306225 - 2⁷ = 842329306097 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 20544617205 + ... + 20544617245.

Almost surely, 2^842329306225 is an apocalyptic number.

842329306225 is the 917785-th square number.

842329306225 is the 458893-rd centered octagonal number.

It is an amenable number.

842329306225 is a deficient number, since it is larger than the sum of its proper divisors (367995119330).

842329306225 is an frugal number, since it uses more digits than its factorization.

842329306225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 46.

The spelling of 842329306225 in words is "eight hundred forty-two billion, three hundred twenty-nine million, three hundred six thousand, two hundred twenty-five".