11523516204317 has 16 divisors (see below), whose sum is σ = 12714963370032. Its totient is φ = 10375739297280.

The previous prime is 11523516204293. The next prime is 11523516204331. The reversal of 11523516204317 is 71340261532511.

It can be written as a sum of positive squares in 8 ways, for example, as 45439743556 + 11478076460761 = 213166^2 + 3387931^2 .

It is a cyclic number.

It is not a de Polignac number, because 11523516204317 - 2²² = 11523512010013 is a prime.

It is a super-2 number, since 2×11523516204317² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (41).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11523516204917) 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, 909683 + ... + 4886159.

It is an arithmetic number, because the mean of its divisors is an integer number (794685210627).

Almost surely, 2^{11523516204317} is an apocalyptic number.

It is an amenable number.

11523516204317 is a deficient number, since it is larger than the sum of its proper divisors (1191447165715).

11523516204317 is a wasteful number, since it uses less digits than its factorization.

11523516204317 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3981968.

The product of its (nonzero) digits is 151200, while the sum is 41.

Adding to 11523516204317 its reverse (71340261532511), we get a palindrome (82863777736828).

The spelling of 11523516204317 in words is "eleven trillion, five hundred twenty-three billion, five hundred sixteen million, two hundred four thousand, three hundred seventeen".