443682549025 has 27 divisors (see below), whose sum is σ = 556089083833. Its totient is φ = 351165284000.

The previous prime is 443682549017. The next prime is 443682549043. The reversal of 443682549025 is 520945286344.

The square root of 443682549025 is 666095.

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

It can be written as a sum of positive squares in 4 ways, for example, as 81923605729 + 361758943296 = 286223^2 + 601464^2 .

It is not a de Polignac number, because 443682549025 - 2³ = 443682549017 is a prime.

It is a Duffinian number.

It is an unprimeable number.

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 26 ways as a sum of consecutive naturals, for example, 336377316 + ... + 336378634.

Almost surely, 2^443682549025 is an apocalyptic number.

443682549025 is the 666095-th square number.

443682549025 is the 333048-th centered octagonal number.

It is an amenable number.

443682549025 is a deficient number, since it is larger than the sum of its proper divisors (112406534808).

443682549025 is an frugal number, since it uses more digits than its factorization.

443682549025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2850 (or 1425 counting only the distinct ones).

The product of its (nonzero) digits is 8294400, while the sum is 52.

The spelling of 443682549025 in words is "four hundred forty-three billion, six hundred eighty-two million, five hundred forty-nine thousand, twenty-five".