7967753319553 has 2 divisors, whose sum is σ = 7967753319554. Its totient is φ = 7967753319552.

The previous prime is 7967753319521. The next prime is 7967753319569. The reversal of 7967753319553 is 3559133577697.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 7528175037504 + 439578282049 = 2743752^2 + 663007^2 .

It is a cyclic number.

It is not a de Polignac number, because 7967753319553 - 2⁵ = 7967753319521 is a prime.

It is a super-2 number, since 2×7967753319553² (a number of 27 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (7967753319583) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 3983876659776 + 3983876659777.

It is an arithmetic number, because the mean of its divisors is an integer number (3983876659777).

Almost surely, 2^{7967753319553} is an apocalyptic number.

It is an amenable number.

7967753319553 is a deficient number, since it is larger than the sum of its proper divisors (1).

7967753319553 is an equidigital number, since it uses as much as digits as its factorization.

7967753319553 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 562605750, while the sum is 70.

The spelling of 7967753319553 in words is "seven trillion, nine hundred sixty-seven billion, seven hundred fifty-three million, three hundred nineteen thousand, five hundred fifty-three".