257173737641 has 2 divisors, whose sum is σ = 257173737642. Its totient is φ = 257173737640.

The previous prime is 257173737637. The next prime is 257173737643. The reversal of 257173737641 is 146737371752.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 207357283225 + 49816454416 = 455365^2 + 223196^2 .

It is a cyclic number.

It is not a de Polignac number, because 257173737641 - 2² = 257173737637 is a prime.

It is a super-2 number, since 2×257173737641² (a number of 24 digits) contains 22 as substring.

It is a Sophie Germain prime.

Together with 257173737643, it forms a pair of twin primes.

It is a Chen prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (257173737643) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 128586868820 + 128586868821.

It is an arithmetic number, because the mean of its divisors is an integer number (128586868821).

Almost surely, 2^257173737641 is an apocalyptic number.

It is an amenable number.

257173737641 is a deficient number, since it is larger than the sum of its proper divisors (1).

257173737641 is an equidigital number, since it uses as much as digits as its factorization.

257173737641 is an evil number, because the sum of its binary digits is even.

The product of its digits is 5186160, while the sum is 53.

The spelling of 257173737641 in words is "two hundred fifty-seven billion, one hundred seventy-three million, seven hundred thirty-seven thousand, six hundred forty-one".