114288525 has 72 divisors (see below), whose sum is σ = 226063656. Its totient is φ = 54835200.

The previous prime is 114288521. The next prime is 114288619. The reversal of 114288525 is 525882411.

114288525 is a `hidden beast` number, since 11 + 42 + 88 + 525 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 86378436 + 27910089 = 9294^2 + 5283^2 .

It is not a de Polignac number, because 114288525 - 2² = 114288521 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 114288525.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114288521) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 119449 + ... + 120401.

It is an arithmetic number, because the mean of its divisors is an integer number (3139773).

Almost surely, 2^114288525 is an apocalyptic number.

114288525 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

114288525 is a deficient number, since it is larger than the sum of its proper divisors (111775131).

114288525 is a wasteful number, since it uses less digits than its factorization.

114288525 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1023 (or 1015 counting only the distinct ones).

The product of its digits is 25600, while the sum is 36.

The square root of 114288525 is about 10690.5811348121. The cubic root of 114288525 is about 485.2894789380.

The spelling of 114288525 in words is "one hundred fourteen million, two hundred eighty-eight thousand, five hundred twenty-five".