43622128137025 has 27 divisors (see below), whose sum is σ = 55893922357539. Its totient is φ = 33771177606000.

The previous prime is 43622128136897. The next prime is 43622128137163. The reversal of 43622128137025 is 52073182122634.

It is a happy number.

The square root of 43622128137025 is 6604705.

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

43622128137025 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 only one way, i.e., 15703966129329 + 27918162007696 = 3962823^2 + 5283764^2 .

It is not a de Polignac number, because 43622128137025 - 2⁷ = 43622128136897 is a prime.

It is a Smith number, since the sum of its digits (46) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1023707970 + ... + 1023750580.

Almost surely, 2^{43622128137025} is an apocalyptic number.

43622128137025 is the 6604705-th square number.

43622128137025 is the 3302353-rd centered octagonal number.

It is an amenable number.

43622128137025 is a deficient number, since it is larger than the sum of its proper divisors (12271794220514).

43622128137025 is an frugal number, since it uses more digits than its factorization.

43622128137025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85294 (or 42647 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 46.

The spelling of 43622128137025 in words is "forty-three trillion, six hundred twenty-two billion, one hundred twenty-eight million, one hundred thirty-seven thousand, twenty-five".