12353104010257 has 2 divisors, whose sum is σ = 12353104010258. Its totient is φ = 12353104010256.

The previous prime is 12353104010249. The next prime is 12353104010281. The reversal of 12353104010257 is 75201040135321.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 6905879433216 + 5447224577041 = 2627904^2 + 2333929^2 .

It is a cyclic number.

It is not a de Polignac number, because 12353104010257 - 2³ = 12353104010249 is a prime.

It is a super-3 number, since 3×12353104010257³ (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not a weakly prime, because it can be changed into another prime (12353104010237) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6176552005128 + 6176552005129.

It is an arithmetic number, because the mean of its divisors is an integer number (6176552005129).

Almost surely, 2^{12353104010257} is an apocalyptic number.

It is an amenable number.

12353104010257 is a deficient number, since it is larger than the sum of its proper divisors (1).

12353104010257 is an equidigital number, since it uses as much as digits as its factorization.

12353104010257 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 25200, while the sum is 34.

Adding to 12353104010257 its reverse (75201040135321), we get a palindrome (87554144145578).

The spelling of 12353104010257 in words is "twelve trillion, three hundred fifty-three billion, one hundred four million, ten thousand, two hundred fifty-seven".