115224320313531 has 288 divisors, whose sum is σ = 203685986230272. Its totient is φ = 61876664640000.

The previous prime is 115224320313491. The next prime is 115224320313533. The reversal of 115224320313531 is 135313023422511.

115224320313531 is a `hidden beast` number, since 1 + 1 + 52 + 2 + 43 + 2 + 0 + 31 + 3 + 531 = 666.

It is not a de Polignac number, because 115224320313531 - 2⁹ = 115224320313019 is a prime.

It is a super-2 number, since 2×115224320313531² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (115224320313533) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 149061216061 + ... + 149061216833.

It is an arithmetic number, because the mean of its divisors is an integer number (707243007744).

Almost surely, 2^{115224320313531} is an apocalyptic number.

115224320313531 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

115224320313531 is a deficient number, since it is larger than the sum of its proper divisors (88461665916741).

115224320313531 is a wasteful number, since it uses less digits than its factorization.

115224320313531 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1687 (or 1653 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The spelling of 115224320313531 in words is "one hundred fifteen trillion, two hundred twenty-four billion, three hundred twenty million, three hundred thirteen thousand, five hundred thirty-one".