11540171864257 has 2 divisors, whose sum is σ = 11540171864258. Its totient is φ = 11540171864256.

The previous prime is 11540171864209. The next prime is 11540171864267. The reversal of 11540171864257 is 75246817104511.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 7286673979456 + 4253497884801 = 2699384^2 + 2062401^2 .

It is a cyclic number.

It is not a de Polignac number, because 11540171864257 - 2³¹ = 11538024380609 is a prime.

It is not a weakly prime, because it can be changed into another prime (11540171864267) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5770085932128 + 5770085932129.

It is an arithmetic number, because the mean of its divisors is an integer number (5770085932129).

Almost surely, 2^{11540171864257} is an apocalyptic number.

It is an amenable number.

11540171864257 is a deficient number, since it is larger than the sum of its proper divisors (1).

11540171864257 is an equidigital number, since it uses as much as digits as its factorization.

11540171864257 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1881600, while the sum is 52.

Adding to 11540171864257 its reverse (75246817104511), we get a palindrome (86786988968768).

The spelling of 11540171864257 in words is "eleven trillion, five hundred forty billion, one hundred seventy-one million, eight hundred sixty-four thousand, two hundred fifty-seven".