1338517105249 has 9 divisors (see below), whose sum is σ = 1341465685779. Its totient is φ = 1335574999200.

The previous prime is 1338517105201. The next prime is 1338517105259. The reversal of 1338517105249 is 9425017158331.

The square root of 1338517105249 is 1156943.

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., 823039056225 + 515478049024 = 907215^2 + 717968^2 .

It is not a de Polignac number, because 1338517105249 - 2¹⁷ = 1338516974177 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1338517105259) 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, 686066224 + ... + 686068174.

Almost surely, 2^{1338517105249} is an apocalyptic number.

1338517105249 is the 1156943-rd square number.

1338517105249 is the 578472-nd centered octagonal number.

It is an amenable number.

1338517105249 is a deficient number, since it is larger than the sum of its proper divisors (2948580530).

1338517105249 is an frugal number, since it uses more digits than its factorization.

1338517105249 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5088 (or 2544 counting only the distinct ones).

The product of its (nonzero) digits is 907200, while the sum is 49.

Multiplying 1338517105249 by its sum of digits (49), we get a square (65587338157201 = 8098601²).

The spelling of 1338517105249 in words is "one trillion, three hundred thirty-eight billion, five hundred seventeen million, one hundred five thousand, two hundred forty-nine".