11522266222511 has 16 divisors (see below), whose sum is σ = 12651407366400. Its totient is φ = 10406889630720.

The previous prime is 11522266222471. The next prime is 11522266222531.

11522266222511 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 11522266222511 - 2²⁶ = 11522199113647 is a prime.

It is a super-3 number, since 3×11522266222511³ (a number of 40 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11522266222531) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2358290 + ... + 5348463.

It is an arithmetic number, because the mean of its divisors is an integer number (790712960400).

Almost surely, 2^{11522266222511} is an apocalyptic number.

11522266222511 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

11522266222511 is a deficient number, since it is larger than the sum of its proper divisors (1129141143889).

11522266222511 is a wasteful number, since it uses less digits than its factorization.

11522266222511 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7707646.

The product of its digits is 57600, while the sum is 38.

It can be divided in two parts, 1152226 and 6222511, that added together give a palindrome (7374737).

The spelling of 11522266222511 in words is "eleven trillion, five hundred twenty-two billion, two hundred sixty-six million, two hundred twenty-two thousand, five hundred eleven".