442005577225 has 9 divisors (see below), whose sum is σ = 548091037767. Its totient is φ = 353601802440.

The previous prime is 442005577219. The next prime is 442005577243. The reversal of 442005577225 is 522775500244.

The square root of 442005577225 is 664835.

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., 159122007801 + 282883569424 = 398901^2 + 531868^2 .

It is not a de Polignac number, because 442005577225 - 2¹¹ = 442005575177 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 3257692 + ... + 3390658.

Almost surely, 2^442005577225 is an apocalyptic number.

442005577225 is the 664835-th square number.

442005577225 is the 332418-th centered octagonal number.

It is an amenable number.

442005577225 is a deficient number, since it is larger than the sum of its proper divisors (106085460542).

442005577225 is an frugal number, since it uses more digits than its factorization.

442005577225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 265944 (or 132972 counting only the distinct ones).

The product of its (nonzero) digits is 784000, while the sum is 43.

The spelling of 442005577225 in words is "four hundred forty-two billion, five million, five hundred seventy-seven thousand, two hundred twenty-five".