1075727133 has 12 divisors (see below), whose sum is σ = 1673353500. Its totient is φ = 661985856.

The previous prime is 1075727119. The next prime is 1075727141. The reversal of 1075727133 is 3317275701.

1075727133 is a `hidden beast` number, since 10 + 7 + 572 + 71 + 3 + 3 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 733218084 + 342509049 = 27078^2 + 18507^2 .

It is not a de Polignac number, because 1075727133 - 2⁵ = 1075727101 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1075727113) 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 11 ways as a sum of consecutive naturals, for example, 4597008 + ... + 4597241.

It is an arithmetic number, because the mean of its divisors is an integer number (139446125).

Almost surely, 2^1075727133 is an apocalyptic number.

1075727133 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

1075727133 is a deficient number, since it is larger than the sum of its proper divisors (597626367).

1075727133 is a wasteful number, since it uses less digits than its factorization.

1075727133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9194268 (or 9194265 counting only the distinct ones).

The product of its (nonzero) digits is 30870, while the sum is 36.

The square root of 1075727133 is about 32798.2794213355. The cubic root of 1075727133 is about 1024.6307241655.

The spelling of 1075727133 in words is "one billion, seventy-five million, seven hundred twenty-seven thousand, one hundred thirty-three".