65817767224225 has 27 divisors (see below), whose sum is σ = 82783337232889. Its totient is φ = 51910333546400.

The previous prime is 65817767224177. The next prime is 65817767224259. The reversal of 65817767224225 is 52242276771856.

The square root of 65817767224225 is 8112815.

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

65817767224225 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 15302859900769 + 50514907323456 = 3911887^2 + 7107384^2 .

It is not a de Polignac number, because 65817767224225 - 2²³ = 65817758835617 is a prime.

It is a super-2 number, since 2×65817767224225² (a number of 28 digits) contains 22 as substring.

It is a Duffinian number.

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 26 ways as a sum of consecutive naturals, for example, 2880037899 + ... + 2880060751.

Almost surely, 2^{65817767224225} is an apocalyptic number.

65817767224225 is the 8112815-th square number.

65817767224225 is the 4056408-th centered octagonal number.

It is an amenable number.

65817767224225 is a deficient number, since it is larger than the sum of its proper divisors (16965570008664).

65817767224225 is an frugal number, since it uses more digits than its factorization.

65817767224225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45858 (or 22929 counting only the distinct ones).

The product of its digits is 158054400, while the sum is 64.

The spelling of 65817767224225 in words is "sixty-five trillion, eight hundred seventeen billion, seven hundred sixty-seven million, two hundred twenty-four thousand, two hundred twenty-five".