82944081225 has 72 divisors (see below), whose sum is σ = 152818222232. Its totient is φ = 42973286400.

The previous prime is 82944081197. The next prime is 82944081229. The reversal of 82944081225 is 52218044928.

82944081225 is a `hidden beast` number, since 82 + 9 + 440 + 8 + 122 + 5 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 2076078096 + 80868003129 = 45564^2 + 284373^2 .

It is not a de Polignac number, because 82944081225 - 2⁵ = 82944081193 is a prime.

It is a super-2 number, since 2×82944081225² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (82944081229) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5495289 + ... + 5510361.

Almost surely, 2^82944081225 is an apocalyptic number.

It is an amenable number.

82944081225 is a deficient number, since it is larger than the sum of its proper divisors (69874141007).

82944081225 is a wasteful number, since it uses less digits than its factorization.

82944081225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15787 (or 15779 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The spelling of 82944081225 in words is "eighty-two billion, nine hundred forty-four million, eighty-one thousand, two hundred twenty-five".