9843812125225 has 135 divisors (see below), whose sum is σ = 13684010193987. Its totient is φ = 7024552816320.

The previous prime is 9843812125181. The next prime is 9843812125237. The reversal of 9843812125225 is 5225212183489.

It is a happy number.

The square root of 9843812125225 is 3137485.

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 9658302743961 + 185509381264 = 3107781^2 + 430708^2 .

It is not a de Polignac number, because 9843812125225 - 2¹³ = 9843812117033 is a prime.

It is a Duffinian number.

Its product of digits (2764800) is a multiple of the sum of its prime divisors (144).

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 134 ways as a sum of consecutive naturals, for example, 124605216736 + ... + 124605216814.

Almost surely, 2^{9843812125225} is an apocalyptic number.

9843812125225 is the 3137485-th square number.

9843812125225 is the 1568743-rd centered octagonal number.

It is an amenable number.

9843812125225 is a deficient number, since it is larger than the sum of its proper divisors (3840198068762).

9843812125225 is an frugal number, since it uses more digits than its factorization.

9843812125225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 314 (or 144 counting only the distinct ones).

The product of its digits is 2764800, while the sum is 52.

The spelling of 9843812125225 in words is "nine trillion, eight hundred forty-three billion, eight hundred twelve million, one hundred twenty-five thousand, two hundred twenty-five".