3792653356081 has 2 divisors, whose sum is σ = 3792653356082. Its totient is φ = 3792653356080.

The previous prime is 3792653356033. The next prime is 3792653356091. The reversal of 3792653356081 is 1806533562973.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2323505733025 + 1469147623056 = 1524305^2 + 1212084^2 .

It is an emirp because it is prime and its reverse (1806533562973) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 3792653356081 - 2¹¹ = 3792653354033 is a prime.

It is a super-2 number, since 2×3792653356081² (a number of 26 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (3792653356021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1896326678040 + 1896326678041.

It is an arithmetic number, because the mean of its divisors is an integer number (1896326678041).

Almost surely, 2^{3792653356081} is an apocalyptic number.

It is an amenable number.

3792653356081 is a deficient number, since it is larger than the sum of its proper divisors (1).

3792653356081 is an equidigital number, since it uses as much as digits as its factorization.

3792653356081 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 24494400, while the sum is 58.

The spelling of 3792653356081 in words is "three trillion, seven hundred ninety-two billion, six hundred fifty-three million, three hundred fifty-six thousand, eighty-one".