7353304810961 has 32 divisors (see below), whose sum is σ = 7638153126912. Its totient is φ = 7074195589440.

The previous prime is 7353304810919. The next prime is 7353304811003. The reversal of 7353304810961 is 1690184033537.

It is an interprime number because it is at equal distance from previous prime (7353304810919) and next prime (7353304811003).

It is a cyclic number.

It is not a de Polignac number, because 7353304810961 - 2³⁰ = 7352231069137 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (7353304813961) 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 in 31 ways as a sum of consecutive naturals, for example, 1832368991 + ... + 1832373003.

It is an arithmetic number, because the mean of its divisors is an integer number (238692285216).

Almost surely, 2^{7353304810961} is an apocalyptic number.

It is an amenable number.

7353304810961 is a deficient number, since it is larger than the sum of its proper divisors (284848315951).

7353304810961 is a wasteful number, since it uses less digits than its factorization.

7353304810961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5573.

The product of its (nonzero) digits is 1632960, while the sum is 50.

The spelling of 7353304810961 in words is "seven trillion, three hundred fifty-three billion, three hundred four million, eight hundred ten thousand, nine hundred sixty-one".