193182872114257 has 2 divisors, whose sum is σ = 193182872114258. Its totient is φ = 193182872114256.

The previous prime is 193182872114213. The next prime is 193182872114269. The reversal of 193182872114257 is 752411278281391.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 188215460858896 + 4967411255361 = 13719164^2 + 2228769^2 .

It is an emirp because it is prime and its reverse (752411278281391) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-193182872114257 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 193182872114195 and 193182872114204.

It is not a weakly prime, because it can be changed into another prime (193182872114357) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 96591436057128 + 96591436057129.

It is an arithmetic number, because the mean of its divisors is an integer number (96591436057129).

Almost surely, 2^{193182872114257} is an apocalyptic number.

It is an amenable number.

193182872114257 is a deficient number, since it is larger than the sum of its proper divisors (1).

193182872114257 is an equidigital number, since it uses as much as digits as its factorization.

193182872114257 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 13547520, while the sum is 61.

The spelling of 193182872114257 in words is "one hundred ninety-three trillion, one hundred eighty-two billion, eight hundred seventy-two million, one hundred fourteen thousand, two hundred fifty-seven".