6509565418225 has 27 divisors (see below), whose sum is σ = 8188289864971. Its totient is φ = 5133590730800.

The previous prime is 6509565418217. The next prime is 6509565418277. The reversal of 6509565418225 is 5228145659056.

The square root of 6509565418225 is 2551385.

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

It can be written as a sum of positive squares in only one way, i.e., 2343443550561 + 4166121867664 = 1530831^2 + 2041108^2 .

It is not a de Polignac number, because 6509565418225 - 2³ = 6509565418217 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 6509565418225.

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, 905738082 + ... + 905745268.

Almost surely, 2^{6509565418225} is an apocalyptic number.

6509565418225 is the 2551385-th square number.

6509565418225 is the 1275693-rd centered octagonal number.

It is an amenable number.

6509565418225 is a deficient number, since it is larger than the sum of its proper divisors (1678724446746).

6509565418225 is an frugal number, since it uses more digits than its factorization.

6509565418225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14526 (or 7263 counting only the distinct ones).

The product of its (nonzero) digits is 25920000, while the sum is 58.

The spelling of 6509565418225 in words is "six trillion, five hundred nine billion, five hundred sixty-five million, four hundred eighteen thousand, two hundred twenty-five".