13267128753649 has 9 divisors (see below), whose sum is σ = 13709022869451. Its totient is φ = 12839047586160.

The previous prime is 13267128753647. The next prime is 13267128753691. The reversal of 13267128753649 is 94635782176231.

The square root of 13267128753649 is 3642407.

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., 3900052271025 + 9367076482624 = 1974855^2 + 3060568^2 .

It is not a de Polignac number, because 13267128753649 - 2¹ = 13267128753647 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13267128753647) 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, 112855869 + ... + 112973365.

Almost surely, 2^{13267128753649} is an apocalyptic number.

13267128753649 is the 3642407-th square number.

13267128753649 is the 1821204-th centered octagonal number.

It is an amenable number.

13267128753649 is a deficient number, since it is larger than the sum of its proper divisors (441894115802).

13267128753649 is an frugal number, since it uses more digits than its factorization.

13267128753649 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 235056 (or 117528 counting only the distinct ones).

The product of its digits is 91445760, while the sum is 64.

Multiplying 13267128753649 by its sum of digits (64), we get a square (849096240233536 = 29139256²).

The spelling of 13267128753649 in words is "thirteen trillion, two hundred sixty-seven billion, one hundred twenty-eight million, seven hundred fifty-three thousand, six hundred forty-nine".