11505242617321 has 2 divisors, whose sum is σ = 11505242617322. Its totient is φ = 11505242617320.

The previous prime is 11505242617307. The next prime is 11505242617343. The reversal of 11505242617321 is 12371624250511.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9944152299225 + 1561090318096 = 3153435^2 + 1249436^2 .

It is a cyclic number.

It is not a de Polignac number, because 11505242617321 - 2³⁷ = 11367803663849 is a prime.

It is not a weakly prime, because it can be changed into another prime (11505242617391) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5752621308660 + 5752621308661.

It is an arithmetic number, because the mean of its divisors is an integer number (5752621308661).

Almost surely, 2^{11505242617321} is an apocalyptic number.

It is an amenable number.

11505242617321 is a deficient number, since it is larger than the sum of its proper divisors (1).

11505242617321 is an equidigital number, since it uses as much as digits as its factorization.

11505242617321 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 100800, while the sum is 40.

Adding to 11505242617321 its reverse (12371624250511), we get a palindrome (23876866867832).

The spelling of 11505242617321 in words is "eleven trillion, five hundred five billion, two hundred forty-two million, six hundred seventeen thousand, three hundred twenty-one".