443069953225 has 81 divisors (see below), whose sum is σ = 601356189343. Its totient is φ = 323764864000.

The previous prime is 443069953213. The next prime is 443069953357. The reversal of 443069953225 is 522359960344.

The square root of 443069953225 is 665635.

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

It can be written as a sum of positive squares in 13 ways, for example, as 383672464569 + 59397488656 = 619413^2 + 243716^2 .

It is not a de Polignac number, because 443069953225 - 2⁹ = 443069952713 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 80 ways as a sum of consecutive naturals, for example, 2319737880 + ... + 2319738070.

Almost surely, 2^443069953225 is an apocalyptic number.

443069953225 is the 665635-th square number.

443069953225 is the 332818-th centered octagonal number.

It is an amenable number.

443069953225 is a deficient number, since it is larger than the sum of its proper divisors (158286236118).

443069953225 is an equidigital number, since it uses as much as digits as its factorization.

443069953225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 508 (or 254 counting only the distinct ones).

The product of its (nonzero) digits is 6998400, while the sum is 52.

The spelling of 443069953225 in words is "four hundred forty-three billion, sixty-nine million, nine hundred fifty-three thousand, two hundred twenty-five".