64036565221225 has 27 divisors (see below), whose sum is σ = 80731484568111. Its totient is φ = 50387507822400.

The previous prime is 64036565221177. The next prime is 64036565221229. The reversal of 64036565221225 is 52212256563046.

The square root of 64036565221225 is 8002285.

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

It can be written as a sum of positive squares in 13 ways, for example, as 55735735815769 + 8300829405456 = 7465637^2 + 2881116^2 .

It is not a de Polignac number, because 64036565221225 - 2¹¹ = 64036565219177 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (64036565221229) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 2440683807 + ... + 2440710043.

Almost surely, 2^{64036565221225} is an apocalyptic number.

64036565221225 is the 8002285-th square number.

64036565221225 is the 4001143-rd centered octagonal number.

It is an amenable number.

64036565221225 is a deficient number, since it is larger than the sum of its proper divisors (16694919346886).

64036565221225 is an frugal number, since it uses more digits than its factorization.

64036565221225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52606 (or 26303 counting only the distinct ones).

The product of its (nonzero) digits is 5184000, while the sum is 49.

The spelling of 64036565221225 in words is "sixty-four trillion, thirty-six billion, five hundred sixty-five million, two hundred twenty-one thousand, two hundred twenty-five".