389944047025 has 45 divisors (see below), whose sum is σ = 524533212231. Its totient is φ = 287569020960.

The previous prime is 389944046983. The next prime is 389944047029. The reversal of 389944047025 is 520740449983.

The square root of 389944047025 is 624455.

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

It can be written as a sum of positive squares in 7 ways, for example, as 382595442849 + 7348604176 = 618543^2 + 85724^2 .

It is not a de Polignac number, because 389944047025 - 2⁷ = 389944046897 is a prime.

It is a super-2 number, since 2×389944047025² (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (389944047029) by changing a digit.

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 44 ways as a sum of consecutive naturals, for example, 527664106 + ... + 527664844.

Almost surely, 2^389944047025 is an apocalyptic number.

389944047025 is the 624455-th square number.

389944047025 is the 312228-th centered octagonal number.

It is an amenable number.

389944047025 is a deficient number, since it is larger than the sum of its proper divisors (134589165206).

389944047025 is an frugal number, since it uses more digits than its factorization.

389944047025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1540 (or 757 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 55.

The spelling of 389944047025 in words is "three hundred eighty-nine billion, nine hundred forty-four million, forty-seven thousand, twenty-five".