7253222406961 has 2 divisors, whose sum is σ = 7253222406962. Its totient is φ = 7253222406960.

The previous prime is 7253222406929. The next prime is 7253222406973. The reversal of 7253222406961 is 1696042223527.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 5185781027361 + 2067441379600 = 2277231^2 + 1437860^2 .

It is an emirp because it is prime and its reverse (1696042223527) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 7253222406961 - 2⁵ = 7253222406929 is a prime.

It is a super-2 number, since 2×7253222406961² (a number of 27 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (7253222406901) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 3626611203480 + 3626611203481.

It is an arithmetic number, because the mean of its divisors is an integer number (3626611203481).

Almost surely, 2^{7253222406961} is an apocalyptic number.

It is an amenable number.

7253222406961 is a deficient number, since it is larger than the sum of its proper divisors (1).

7253222406961 is an equidigital number, since it uses as much as digits as its factorization.

7253222406961 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2177280, while the sum is 49.

The spelling of 7253222406961 in words is "seven trillion, two hundred fifty-three billion, two hundred twenty-two million, four hundred six thousand, nine hundred sixty-one".