6813065734225 has 9 divisors (see below), whose sum is σ = 8448217693617. Its totient is φ = 5450442146640.

The previous prime is 6813065734213. The next prime is 6813065734271. The reversal of 6813065734225 is 5224375603186.

The square root of 6813065734225 is 2610185.

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 43161309009 + 6769904425216 = 207753^2 + 2601904^2 .

It is not a de Polignac number, because 6813065734225 - 2⁵ = 6813065734193 is a prime.

It is a Duffinian number.

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 8 ways as a sum of consecutive naturals, for example, 12789907 + ... + 13311943.

Almost surely, 2^{6813065734225} is an apocalyptic number.

6813065734225 is the 2610185-th square number.

6813065734225 is the 1305093-rd centered octagonal number.

It is an amenable number.

6813065734225 is a deficient number, since it is larger than the sum of its proper divisors (1635151959392).

6813065734225 is an frugal number, since it uses more digits than its factorization.

6813065734225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1044084 (or 522042 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 52.

The spelling of 6813065734225 in words is "six trillion, eight hundred thirteen billion, sixty-five million, seven hundred thirty-four thousand, two hundred twenty-five".