7085099386225 has 81 divisors (see below), whose sum is σ = 10404120298017. Its totient is φ = 4772303679360.

The previous prime is 7085099386117. The next prime is 7085099386229. The reversal of 7085099386225 is 5226839905807.

The square root of 7085099386225 is 2661785.

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 263537462881 + 6821561923344 = 513359^2 + 2611812^2 .

It is not a de Polignac number, because 7085099386225 - 2⁹ = 7085099385713 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (7085099386229) by changing a digit.

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 80 ways as a sum of consecutive naturals, for example, 5496585381 + ... + 5496586669.

Almost surely, 2^{7085099386225} is an apocalyptic number.

7085099386225 is the 2661785-th square number.

7085099386225 is the 1330893-rd centered octagonal number.

It is an amenable number.

7085099386225 is a deficient number, since it is larger than the sum of its proper divisors (3319020911792).

7085099386225 is an frugal number, since it uses more digits than its factorization.

7085099386225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2720 (or 1360 counting only the distinct ones).

The product of its (nonzero) digits is 65318400, while the sum is 64.

Multiplying 7085099386225 by its sum of digits (64), we get a square (453446360718400 = 21294280²).

The spelling of 7085099386225 in words is "seven trillion, eighty-five billion, ninety-nine million, three hundred eighty-six thousand, two hundred twenty-five".