2738334566513 has 16 divisors (see below), whose sum is σ = 3516790884096. Its totient is φ = 2072394624960.

The previous prime is 2738334566489. The next prime is 2738334566519. The reversal of 2738334566513 is 3156654338372.

2738334566513 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 2738334566513 - 2¹² = 2738334562417 is a prime.

It is a Smith number, since the sum of its digits (56) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is not an unprimeable number, because it can be changed into a prime (2738334566519) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 654162878 + ... + 654167063.

It is an arithmetic number, because the mean of its divisors is an integer number (219799430256).

Almost surely, 2^{2738334566513} is an apocalyptic number.

2738334566513 is a gapful number since it is divisible by the number (23) formed by its first and last digit.

It is an amenable number.

2738334566513 is a deficient number, since it is larger than the sum of its proper divisors (778456317583).

2738334566513 is a wasteful number, since it uses less digits than its factorization.

2738334566513 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1308329984.

The product of its digits is 32659200, while the sum is 56.

The spelling of 2738334566513 in words is "two trillion, seven hundred thirty-eight billion, three hundred thirty-four million, five hundred sixty-six thousand, five hundred thirteen".