2733066933601 has 27 divisors (see below), whose sum is σ = 3000924892857. Its totient is φ = 2488527390720.

The previous prime is 2733066933521. The next prime is 2733066933607. The reversal of 2733066933601 is 1063396603372.

The square root of 2733066933601 is 1653199.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 2044897140001 + 688169793600 = 1429999^2 + 829560^2 .

It is not a de Polignac number, because 2733066933601 - 2³¹ = 2730919449953 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2733066933607) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 871234305 + ... + 871237441.

Almost surely, 2^{2733066933601} is an apocalyptic number.

2733066933601 is the 1653199-th square number.

2733066933601 is the 826600-th centered octagonal number.

It is an amenable number.

2733066933601 is a deficient number, since it is larger than the sum of its proper divisors (267857959256).

2733066933601 is an frugal number, since it uses more digits than its factorization.

2733066933601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6370 (or 3185 counting only the distinct ones).

The product of its (nonzero) digits is 2204496, while the sum is 49.

Multiplying 2733066933601 by its sum of digits (49), we get a square (133920279746449 = 11572393²).

The spelling of 2733066933601 in words is "two trillion, seven hundred thirty-three billion, sixty-six million, nine hundred thirty-three thousand, six hundred one".