82643827225 has 12 divisors (see below), whose sum is σ = 102482776620. Its totient is φ = 66112203200.

The previous prime is 82643827207. The next prime is 82643827229. The reversal of 82643827225 is 52272834628.

It can be written as a sum of positive squares in 6 ways, for example, as 2390036544 + 80253790681 = 48888^2 + 283291^2 .

It is not a de Polignac number, because 82643827225 - 2⁵ = 82643827193 is a prime.

It is not an unprimeable number, because it can be changed into a prime (82643827229) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 668571 + ... + 782479.

It is an arithmetic number, because the mean of its divisors is an integer number (8540231385).

Almost surely, 2^82643827225 is an apocalyptic number.

It is an amenable number.

82643827225 is a deficient number, since it is larger than the sum of its proper divisors (19838949395).

82643827225 is a wasteful number, since it uses less digits than its factorization.

82643827225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142940 (or 142935 counting only the distinct ones).

The product of its digits is 2580480, while the sum is 49.

The spelling of 82643827225 in words is "eighty-two billion, six hundred forty-three million, eight hundred twenty-seven thousand, two hundred twenty-five".