1125352305 has 128 divisors (see below), whose sum is σ = 2530160640. Its totient is φ = 460961280.

The previous prime is 1125352271. The next prime is 1125352307. The reversal of 1125352305 is 5032535211.

It is a happy number.

1125352305 is a `hidden beast` number, since 1 + 1 + 2 + 5 + 352 + 305 = 666.

It is not a de Polignac number, because 1125352305 - 2¹⁰ = 1125351281 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (1125352307) 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 127 ways as a sum of consecutive naturals, for example, 758094 + ... + 759576.

It is an arithmetic number, because the mean of its divisors is an integer number (19766880).

Almost surely, 2^1125352305 is an apocalyptic number.

1125352305 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1125352305 is an abundant number, since it is smaller than the sum of its proper divisors (1404808335).

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

1125352305 is a wasteful number, since it uses less digits than its factorization.

1125352305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1588 (or 1582 counting only the distinct ones).

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

The square root of 1125352305 is about 33546.2711042524. The cubic root of 1125352305 is about 1040.1504667034.

Adding to 1125352305 its reverse (5032535211), we get a palindrome (6157887516).

The spelling of 1125352305 in words is "one billion, one hundred twenty-five million, three hundred fifty-two thousand, three hundred five".