11735805006257 has 2 divisors, whose sum is σ = 11735805006258. Its totient is φ = 11735805006256.

The previous prime is 11735805006241. The next prime is 11735805006259. The reversal of 11735805006257 is 75260050853711.

11735805006257 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 10827054621601 + 908750384656 = 3290449^2 + 953284^2 .

It is a cyclic number.

It is not a de Polignac number, because 11735805006257 - 2⁴ = 11735805006241 is a prime.

Together with 11735805006259, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (11735805006259) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5867902503128 + 5867902503129.

It is an arithmetic number, because the mean of its divisors is an integer number (5867902503129).

Almost surely, 2^{11735805006257} is an apocalyptic number.

It is an amenable number.

11735805006257 is a deficient number, since it is larger than the sum of its proper divisors (1).

11735805006257 is an equidigital number, since it uses as much as digits as its factorization.

11735805006257 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1764000, while the sum is 50.

Adding to 11735805006257 its reverse (75260050853711), we get a palindrome (86995855859968).

The spelling of 11735805006257 in words is "eleven trillion, seven hundred thirty-five billion, eight hundred five million, six thousand, two hundred fifty-seven".