6938750763257 has 2 divisors, whose sum is σ = 6938750763258. Its totient is φ = 6938750763256.

The previous prime is 6938750763163. The next prime is 6938750763277. The reversal of 6938750763257 is 7523670578396.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 6484988206096 + 453762557161 = 2546564^2 + 673619^2 .

It is a cyclic number.

It is not a de Polignac number, because 6938750763257 - 2¹⁰ = 6938750762233 is a prime.

It is a super-2 number, since 2×6938750763257² (a number of 26 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (6938750763277) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 3469375381628 + 3469375381629.

It is an arithmetic number, because the mean of its divisors is an integer number (3469375381629).

Almost surely, 2^{6938750763257} is an apocalyptic number.

It is an amenable number.

6938750763257 is a deficient number, since it is larger than the sum of its proper divisors (1).

6938750763257 is an equidigital number, since it uses as much as digits as its factorization.

6938750763257 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 400075200, while the sum is 68.

The spelling of 6938750763257 in words is "six trillion, nine hundred thirty-eight billion, seven hundred fifty million, seven hundred sixty-three thousand, two hundred fifty-seven".