965124133890557 has 2 divisors, whose sum is σ = 965124133890558. Its totient is φ = 965124133890556.

The previous prime is 965124133890467. The next prime is 965124133890559. The reversal of 965124133890557 is 755098331421569.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 787860845561881 + 177263288328676 = 28068859^2 + 13314026^2 .

It is an emirp because it is prime and its reverse (755098331421569) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 965124133890557 - 2¹⁰ = 965124133889533 is a prime.

Together with 965124133890559, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (965124133890559) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 482562066945278 + 482562066945279.

It is an arithmetic number, because the mean of its divisors is an integer number (482562066945279).

It is a 1-persistent number, because it is pandigital, but 2⋅965124133890557 = 1930248267781114 is not.

Almost surely, 2^{965124133890557} is an apocalyptic number.

It is an amenable number.

965124133890557 is a deficient number, since it is larger than the sum of its proper divisors (1).

965124133890557 is an equidigital number, since it uses as much as digits as its factorization.

965124133890557 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 244944000, while the sum is 68.

The spelling of 965124133890557 in words is "nine hundred sixty-five trillion, one hundred twenty-four billion, one hundred thirty-three million, eight hundred ninety thousand, five hundred fifty-seven".