5957405568193 has 2 divisors, whose sum is σ = 5957405568194. Its totient is φ = 5957405568192.

The previous prime is 5957405568181. The next prime is 5957405568197. The reversal of 5957405568193 is 3918655047595.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 5877603838129 + 79801730064 = 2424377^2 + 282492^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-5957405568193 is a prime.

It is a super-2 number, since 2×5957405568193² (a number of 26 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (5957405568197) 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, 2978702784096 + 2978702784097.

It is an arithmetic number, because the mean of its divisors is an integer number (2978702784097).

Almost surely, 2^{5957405568193} is an apocalyptic number.

It is an amenable number.

5957405568193 is a deficient number, since it is larger than the sum of its proper divisors (1).

5957405568193 is an equidigital number, since it uses as much as digits as its factorization.

5957405568193 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 204120000, while the sum is 67.

The spelling of 5957405568193 in words is "five trillion, nine hundred fifty-seven billion, four hundred five million, five hundred sixty-eight thousand, one hundred ninety-three".