10255052513257 has 2 divisors, whose sum is σ = 10255052513258. Its totient is φ = 10255052513256.

The previous prime is 10255052513249. The next prime is 10255052513263. The reversal of 10255052513257 is 75231525055201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 6917930998416 + 3337121514841 = 2630196^2 + 1826779^2 .

It is a cyclic number.

It is not a de Polignac number, because 10255052513257 - 2³ = 10255052513249 is a prime.

It is a super-2 number, since 2×10255052513257² (a number of 27 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (10255052513207) 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, 5127526256628 + 5127526256629.

It is an arithmetic number, because the mean of its divisors is an integer number (5127526256629).

Almost surely, 2^{10255052513257} is an apocalyptic number.

It is an amenable number.

10255052513257 is a deficient number, since it is larger than the sum of its proper divisors (1).

10255052513257 is an equidigital number, since it uses as much as digits as its factorization.

10255052513257 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 525000, while the sum is 43.

Adding to 10255052513257 its reverse (75231525055201), we get a palindrome (85486577568458).

The spelling of 10255052513257 in words is "ten trillion, two hundred fifty-five billion, fifty-two million, five hundred thirteen thousand, two hundred fifty-seven".