7845516970225 has 81 divisors (see below), whose sum is σ = 10805051976033. Its totient is φ = 5646785760000.

The previous prime is 7845516970223. The next prime is 7845516970237. The reversal of 7845516970225 is 5220796155487.

It is a happy number.

The square root of 7845516970225 is 2800985.

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 2098699818721 + 5746817151504 = 1448689^2 + 2397252^2 .

It is not a de Polignac number, because 7845516970225 - 2¹ = 7845516970223 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (7845516970223) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 19564880025 + ... + 19564880425.

Almost surely, 2^{7845516970225} is an apocalyptic number.

7845516970225 is the 2800985-th square number.

7845516970225 is the 1400493-rd centered octagonal number.

It is an amenable number.

7845516970225 is a deficient number, since it is larger than the sum of its proper divisors (2959535005808).

7845516970225 is an equidigital number, since it uses as much as digits as its factorization.

7845516970225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1088 (or 544 counting only the distinct ones).

The product of its (nonzero) digits is 42336000, while the sum is 61.

The spelling of 7845516970225 in words is "seven trillion, eight hundred forty-five billion, five hundred sixteen million, nine hundred seventy thousand, two hundred twenty-five".