1728068513337 has 28 divisors (see below), whose sum is σ = 2591717564644. Its totient is φ = 1151689946400.

The previous prime is 1728068513273. The next prime is 1728068513351. The reversal of 1728068513337 is 7333158608271.

It is a happy number.

1728068513337 is a `hidden beast` number, since 17 + 2 + 80 + 6 + 8 + 513 + 3 + 37 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1101032588601 + 627035924736 = 1049301^2 + 791856^2 .

It is not a de Polignac number, because 1728068513337 - 2⁶ = 1728068513273 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1728068517337) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 2007087 + ... + 2735787.

Almost surely, 2^{1728068513337} is an apocalyptic number.

It is an amenable number.

1728068513337 is a deficient number, since it is larger than the sum of its proper divisors (863649051307).

1728068513337 is an frugal number, since it uses more digits than its factorization.

1728068513337 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 731972 (or 731957 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 54.

The spelling of 1728068513337 in words is "one trillion, seven hundred twenty-eight billion, sixty-eight million, five hundred thirteen thousand, three hundred thirty-seven".