115071825 has 48 divisors (see below), whose sum is σ = 209754432. Its totient is φ = 55200000.

The previous prime is 115071823. The next prime is 115071833. The reversal of 115071825 is 528170511.

It is not a de Polignac number, because 115071825 - 2¹ = 115071823 is a prime.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 115071792 and 115071801.

It is not an unprimeable number, because it can be changed into a prime (115071821) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 82635 + ... + 84015.

It is an arithmetic number, because the mean of its divisors is an integer number (4369884).

Almost surely, 2^115071825 is an apocalyptic number.

115071825 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

115071825 is a deficient number, since it is larger than the sum of its proper divisors (94682607).

115071825 is a wasteful number, since it uses less digits than its factorization.

115071825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1506 (or 1501 counting only the distinct ones).

The product of its (nonzero) digits is 2800, while the sum is 30.

The square root of 115071825 is about 10727.1536299244. The cubic root of 115071825 is about 486.3956328982.

The spelling of 115071825 in words is "one hundred fifteen million, seventy-one thousand, eight hundred twenty-five".