5957405568197 has 2 divisors, whose sum is σ = 5957405568198. Its totient is φ = 5957405568196.

The previous prime is 5957405568193. The next prime is 5957405568199. The reversal of 5957405568197 is 7918655047595.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 5651987966881 + 305417601316 = 2377391^2 + 552646^2 .

It is a cyclic number.

It is not a de Polignac number, because 5957405568197 - 2² = 5957405568193 is a prime.

It is a super-2 number, since 2×5957405568197² (a number of 26 digits) contains 22 as substring.

Together with 5957405568199, it forms a pair of twin primes.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 5957405568197.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (5957405568193) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2978702784098 + 2978702784099.

It is an arithmetic number, because the mean of its divisors is an integer number (2978702784099).

Almost surely, 2^{5957405568197} is an apocalyptic number.

It is an amenable number.

5957405568197 is a deficient number, since it is larger than the sum of its proper divisors (1).

5957405568197 is an equidigital number, since it uses as much as digits as its factorization.

5957405568197 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 476280000, while the sum is 71.

The spelling of 5957405568197 in words is "five trillion, nine hundred fifty-seven billion, four hundred five million, five hundred sixty-eight thousand, one hundred ninety-seven".