11735344205257 has 2 divisors, whose sum is σ = 11735344205258. Its totient is φ = 11735344205256.

The previous prime is 11735344205239. The next prime is 11735344205293. The reversal of 11735344205257 is 75250244353711.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9328039905856 + 2407304299401 = 3054184^2 + 1551549^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-11735344205257 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 11735344205257.

It is not a weakly prime, because it can be changed into another prime (11735344205957) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5867672102628 + 5867672102629.

It is an arithmetic number, because the mean of its divisors is an integer number (5867672102629).

Almost surely, 2^{11735344205257} is an apocalyptic number.

It is an amenable number.

11735344205257 is a deficient number, since it is larger than the sum of its proper divisors (1).

11735344205257 is an equidigital number, since it uses as much as digits as its factorization.

11735344205257 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3528000, while the sum is 49.

Adding to 11735344205257 its reverse (75250244353711), we get a palindrome (86985588558968).

The spelling of 11735344205257 in words is "eleven trillion, seven hundred thirty-five billion, three hundred forty-four million, two hundred five thousand, two hundred fifty-seven".