1365553728001 has 2 divisors, whose sum is σ = 1365553728002. Its totient is φ = 1365553728000.

The previous prime is 1365553727957. The next prime is 1365553728013. The reversal of 1365553728001 is 1008273555631.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 935118010225 + 430435717776 = 967015^2 + 656076^2 .

It is an emirp because it is prime and its reverse (1008273555631) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 1365553728001 - 2⁷ = 1365553727873 is a prime.

It is not a weakly prime, because it can be changed into another prime (1365553728101) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 682776864000 + 682776864001.

It is an arithmetic number, because the mean of its divisors is an integer number (682776864001).

Almost surely, 2^{1365553728001} is an apocalyptic number.

It is an amenable number.

1365553728001 is a deficient number, since it is larger than the sum of its proper divisors (1).

1365553728001 is an equidigital number, since it uses as much as digits as its factorization.

1365553728001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 756000, while the sum is 46.

The spelling of 1365553728001 in words is "one trillion, three hundred sixty-five billion, five hundred fifty-three million, seven hundred twenty-eight thousand, one".