1328263165009 has 9 divisors (see below), whose sum is σ = 1460005678299. Its totient is φ = 1207500443160.

The previous prime is 1328263164997. The next prime is 1328263165051. The reversal of 1328263165009 is 9005613628231.

The square root of 1328263165009 is 1152503.

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., 1273613817025 + 54649347984 = 1128545^2 + 233772^2 .

It is not a de Polignac number, because 1328263165009 - 2⁷ = 1328263164881 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 1328263165009.

It is not an unprimeable number, because it can be changed into a prime (1328263165309) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 12625147 + ... + 12729919.

Almost surely, 2^{1328263165009} is an apocalyptic number.

1328263165009 is the 1152503-rd square number.

1328263165009 is the 576252-nd centered octagonal number.

It is an amenable number.

1328263165009 is a deficient number, since it is larger than the sum of its proper divisors (131742513290).

1328263165009 is an frugal number, since it uses more digits than its factorization.

1328263165009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209568 (or 104784 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 46.

The spelling of 1328263165009 in words is "one trillion, three hundred twenty-eight billion, two hundred sixty-three million, one hundred sixty-five thousand, nine".