1167594958961 has 2 divisors, whose sum is σ = 1167594958962. Its totient is φ = 1167594958960.

The previous prime is 1167594958931. The next prime is 1167594958963. The reversal of 1167594958961 is 1698594957611.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1057524289600 + 110070669361 = 1028360^2 + 331769^2 .

It is a cyclic number.

It is not a de Polignac number, because 1167594958961 - 2¹⁸ = 1167594696817 is a prime.

It is a super-2 number, since 2×1167594958961² (a number of 25 digits) contains 22 as substring.

Together with 1167594958963, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (1167594958963) 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, 583797479480 + 583797479481.

It is an arithmetic number, because the mean of its divisors is an integer number (583797479481).

Almost surely, 2^{1167594958961} is an apocalyptic number.

It is an amenable number.

1167594958961 is a deficient number, since it is larger than the sum of its proper divisors (1).

1167594958961 is an equidigital number, since it uses as much as digits as its factorization.

1167594958961 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 146966400, while the sum is 71.

The spelling of 1167594958961 in words is "one trillion, one hundred sixty-seven billion, five hundred ninety-four million, nine hundred fifty-eight thousand, nine hundred sixty-one".