11541205513 has 2 divisors, whose sum is σ = 11541205514. Its totient is φ = 11541205512.

The previous prime is 11541205483. The next prime is 11541205541. The reversal of 11541205513 is 31550214511.

11541205513 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an a-pointer prime, because the next prime (11541205541) can be obtained adding 11541205513 to its sum of digits (28).

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 5991998464 + 5549207049 = 77408^2 + 74493^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-11541205513 is a prime.

It is not a weakly prime, because it can be changed into another prime (11541205553) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5770602756 + 5770602757.

It is an arithmetic number, because the mean of its divisors is an integer number (5770602757).

Almost surely, 2^11541205513 is an apocalyptic number.

It is an amenable number.

11541205513 is a deficient number, since it is larger than the sum of its proper divisors (1).

11541205513 is an equidigital number, since it uses as much as digits as its factorization.

11541205513 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3000, while the sum is 28.

The spelling of 11541205513 in words is "eleven billion, five hundred forty-one million, two hundred five thousand, five hundred thirteen".