2733232256001 has 27 divisors (see below), whose sum is σ = 4275156430467. Its totient is φ = 1681949402640.

The previous prime is 2733232255933. The next prime is 2733232256003. The reversal of 2733232256001 is 1006522323372.

The square root of 2733232256001 is 1653249.

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

2733232256001 is a `hidden beast` number, since 2 + 7 + 3 + 3 + 23 + 2 + 25 + 600 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 404324298225 + 2328907957776 = 635865^2 + 1526076^2 .

It is not a de Polignac number, because 2733232256001 - 2¹⁵ = 2733232223233 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2733232256003) 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, 64455516 + ... + 64497906.

Almost surely, 2^{2733232256001} is an apocalyptic number.

2733232256001 is the 1653249-th square number.

2733232256001 is the 826625-th centered octagonal number.

It is an amenable number.

2733232256001 is a deficient number, since it is larger than the sum of its proper divisors (1541924174466).

2733232256001 is an frugal number, since it uses more digits than its factorization.

2733232256001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84814 (or 42407 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 36.

Multiplying 2733232256001 by its sum of digits (36), we get a square (98396361216036 = 9919494²).

Adding to 2733232256001 its reverse (1006522323372), we get a palindrome (3739754579373).

The spelling of 2733232256001 in words is "two trillion, seven hundred thirty-three billion, two hundred thirty-two million, two hundred fifty-six thousand, one".