12852834457225 has 45 divisors (see below), whose sum is σ = 18593931555413. Its totient is φ = 8812769904960.

The previous prime is 12852834457181. The next prime is 12852834457313. The reversal of 12852834457225 is 52275443825821.

It is a happy number.

The square root of 12852834457225 is 3585085.

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

It can be written as a sum of positive squares in 4 ways, for example, as 7493813175289 + 5359021281936 = 2737483^2 + 2314956^2 .

It is not a de Polignac number, because 12852834457225 - 2¹⁵ = 12852834424457 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 12852834457225.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 878338509 + ... + 878353141.

Almost surely, 2^{12852834457225} is an apocalyptic number.

12852834457225 is the 3585085-th square number.

12852834457225 is the 1792543-rd centered octagonal number.

It is an amenable number.

12852834457225 is a deficient number, since it is larger than the sum of its proper divisors (5741097098188).

12852834457225 is an frugal number, since it uses more digits than its factorization.

12852834457225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29304 (or 14645 counting only the distinct ones).

The product of its digits is 43008000, while the sum is 58.

The spelling of 12852834457225 in words is "twelve trillion, eight hundred fifty-two billion, eight hundred thirty-four million, four hundred fifty-seven thousand, two hundred twenty-five".