1312090066225 has 9 divisors (see below), whose sum is σ = 1626998784033. Its totient is φ = 1049667471120.

The previous prime is 1312090066211. The next prime is 1312090066229. The reversal of 1312090066225 is 5226600902131.

The square root of 1312090066225 is 1145465.

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 45150725169 + 1266939341056 = 212487^2 + 1125584^2 .

It is not a de Polignac number, because 1312090066225 - 2²⁹ = 1311553195313 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1312090066229) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 5612779 + ... + 5841871.

Almost surely, 2^{1312090066225} is an apocalyptic number.

1312090066225 is the 1145465-th square number.

1312090066225 is the 572733-rd centered octagonal number.

It is an amenable number.

1312090066225 is a deficient number, since it is larger than the sum of its proper divisors (314908717808).

1312090066225 is an frugal number, since it uses more digits than its factorization.

1312090066225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 458196 (or 229098 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 37.

Adding to 1312090066225 its reverse (5226600902131), we get a palindrome (6538690968356).

The spelling of 1312090066225 in words is "one trillion, three hundred twelve billion, ninety million, sixty-six thousand, two hundred twenty-five".