7242583080961 has 2 divisors, whose sum is σ = 7242583080962. Its totient is φ = 7242583080960.

The previous prime is 7242583080947. The next prime is 7242583080973. The reversal of 7242583080961 is 1690803852427.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 4302952814736 + 2939630266225 = 2074356^2 + 1714535^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-7242583080961 is a prime.

It is not a weakly prime, because it can be changed into another prime (7242583080361) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 3621291540480 + 3621291540481.

It is an arithmetic number, because the mean of its divisors is an integer number (3621291540481).

It is a 1-persistent number, because it is pandigital, but 2⋅7242583080961 = 14485166161922 is not.

Almost surely, 2^{7242583080961} is an apocalyptic number.

It is an amenable number.

7242583080961 is a deficient number, since it is larger than the sum of its proper divisors (1).

7242583080961 is an equidigital number, since it uses as much as digits as its factorization.

7242583080961 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5806080, while the sum is 55.

The spelling of 7242583080961 in words is "seven trillion, two hundred forty-two billion, five hundred eighty-three million, eighty thousand, nine hundred sixty-one".