6565970632225 has 27 divisors (see below), whose sum is σ = 8266217456217. Its totient is φ = 5173700378880.

The previous prime is 6565970632201. The next prime is 6565970632261. The reversal of 6565970632225 is 5222360795656.

The square root of 6565970632225 is 2562415.

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 2833300264081 + 3732670368144 = 1683241^2 + 1932012^2 .

It is not a de Polignac number, because 6565970632225 - 2⁹ = 6565970631713 is a prime.

It is a super-2 number, since 2×6565970632225² (a number of 26 digits) contains 22 as substring.

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 6565970632225.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 858405201 + ... + 858412849.

Almost surely, 2^{6565970632225} is an apocalyptic number.

6565970632225 is the 2562415-th square number.

6565970632225 is the 1281208-th centered octagonal number.

It is an amenable number.

6565970632225 is a deficient number, since it is larger than the sum of its proper divisors (1700246823992).

6565970632225 is an frugal number, since it uses more digits than its factorization.

6565970632225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15442 (or 7721 counting only the distinct ones).

The product of its (nonzero) digits is 40824000, while the sum is 58.

The spelling of 6565970632225 in words is "six trillion, five hundred sixty-five billion, nine hundred seventy million, six hundred thirty-two thousand, two hundred twenty-five".