11271511215517 has 24 divisors (see below), whose sum is σ = 13932443941560. Its totient is φ = 9060624276480.

The previous prime is 11271511215499. The next prime is 11271511215563. The reversal of 11271511215517 is 71551211517211.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 885657916836 + 10385853298681 = 941094^2 + 3222709^2 .

It is a de Polignac number, because none of the positive numbers 2^k-11271511215517 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 11271511215517.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11271511215317) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23842842 + ... + 24310987.

It is an arithmetic number, because the mean of its divisors is an integer number (580518497565).

Almost surely, 2^{11271511215517} is an apocalyptic number.

11271511215517 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

11271511215517 is a deficient number, since it is larger than the sum of its proper divisors (2660932726043).

11271511215517 is a wasteful number, since it uses less digits than its factorization.

11271511215517 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48154141 (or 48154134 counting only the distinct ones).

The product of its digits is 24500, while the sum is 40.

The spelling of 11271511215517 in words is "eleven trillion, two hundred seventy-one billion, five hundred eleven million, two hundred fifteen thousand, five hundred seventeen".