115352523 has 48 divisors (see below), whose sum is σ = 200019456. Its totient is φ = 63126720.

The previous prime is 115352509. The next prime is 115352537. The reversal of 115352523 is 325253511.

It is a happy number.

115352523 is a `hidden beast` number, since 115 + 3 + 525 + 23 = 666.

It is an interprime number because it is at equal distance from previous prime (115352509) and next prime (115352537).

It is not a de Polignac number, because 115352523 - 2⁸ = 115352267 is a prime.

It is not an unprimeable number, because it can be changed into a prime (115352543) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 59536 + ... + 61442.

It is an arithmetic number, because the mean of its divisors is an integer number (4167072).

Almost surely, 2^115352523 is an apocalyptic number.

115352523 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

115352523 is a deficient number, since it is larger than the sum of its proper divisors (84666933).

115352523 is a wasteful number, since it uses less digits than its factorization.

115352523 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1984 (or 1981 counting only the distinct ones).

The product of its digits is 4500, while the sum is 27.

The square root of 115352523 is about 10740.2291874987. The cubic root of 115352523 is about 486.7908046890.

The spelling of 115352523 in words is "one hundred fifteen million, three hundred fifty-two thousand, five hundred twenty-three".