11531117180532 has 48 divisors (see below), whose sum is σ = 27243454230720. Its totient is φ = 3795601168128.

The previous prime is 11531117180491. The next prime is 11531117180533. The reversal of 11531117180532 is 23508171113511.

11531117180532 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×11531117180532² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11531117180533) 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, 6158218 + ... + 7809345.

It is an arithmetic number, because the mean of its divisors is an integer number (567571963140).

Almost surely, 2^{11531117180532} is an apocalyptic number.

11531117180532 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11531117180532 is an abundant number, since it is smaller than the sum of its proper divisors (15712337050188).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

11531117180532 is a wasteful number, since it uses less digits than its factorization.

11531117180532 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13968432 (or 13968430 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 39.

The spelling of 11531117180532 in words is "eleven trillion, five hundred thirty-one billion, one hundred seventeen million, one hundred eighty thousand, five hundred thirty-two".