11827233305257 has 2 divisors, whose sum is σ = 11827233305258. Its totient is φ = 11827233305256.

The previous prime is 11827233305249. The next prime is 11827233305269. The reversal of 11827233305257 is 75250333272811.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 7066899156496 + 4760334148761 = 2658364^2 + 2181819^2 .

It is a cyclic number.

It is not a de Polignac number, because 11827233305257 - 2³ = 11827233305249 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 11827233305257.

It is not a weakly prime, because it can be changed into another prime (11827233305297) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5913616652628 + 5913616652629.

It is an arithmetic number, because the mean of its divisors is an integer number (5913616652629).

Almost surely, 2^{11827233305257} is an apocalyptic number.

It is an amenable number.

11827233305257 is a deficient number, since it is larger than the sum of its proper divisors (1).

11827233305257 is an equidigital number, since it uses as much as digits as its factorization.

11827233305257 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2116800, while the sum is 49.

The spelling of 11827233305257 in words is "eleven trillion, eight hundred twenty-seven billion, two hundred thirty-three million, three hundred five thousand, two hundred fifty-seven".