257156856004193 has 2 divisors, whose sum is σ = 257156856004194. Its totient is φ = 257156856004192.

The previous prime is 257156856004159. The next prime is 257156856004199. The reversal of 257156856004193 is 391400658651752.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 235867795408144 + 21289060596049 = 15357988^2 + 4614007^2 .

It is a cyclic number.

It is not a de Polignac number, because 257156856004193 - 2²⁰ = 257156854955617 is a prime.

It is a super-2 number, since 2×257156856004193² (a number of 30 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (257156856004199) 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, 128578428002096 + 128578428002097.

It is an arithmetic number, because the mean of its divisors is an integer number (128578428002097).

It is a 1-persistent number, because it is pandigital, but 2⋅257156856004193 = 514313712008386 is not.

Almost surely, 2^{257156856004193} is an apocalyptic number.

It is an amenable number.

257156856004193 is a deficient number, since it is larger than the sum of its proper divisors (1).

257156856004193 is an equidigital number, since it uses as much as digits as its factorization.

257156856004193 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 54432000, while the sum is 62.

The spelling of 257156856004193 in words is "two hundred fifty-seven trillion, one hundred fifty-six billion, eight hundred fifty-six million, four thousand, one hundred ninety-three".