1005125433 has 16 divisors (see below), whose sum is σ = 1443938496. Its totient is φ = 618246720.

The previous prime is 1005125377. The next prime is 1005125449. The reversal of 1005125433 is 3345215001.

It is not a de Polignac number, because 1005125433 - 2¹⁰ = 1005124409 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1005125333) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 101791 + ... + 111227.

It is an arithmetic number, because the mean of its divisors is an integer number (90246156).

Almost surely, 2^1005125433 is an apocalyptic number.

1005125433 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

1005125433 is a deficient number, since it is larger than the sum of its proper divisors (438813063).

1005125433 is a wasteful number, since it uses less digits than its factorization.

1005125433 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12184.

The product of its (nonzero) digits is 1800, while the sum is 24.

The square root of 1005125433 is about 31703.7132367803. The cubic root of 1005125433 is about 1001.7055670539.

The spelling of 1005125433 in words is "one billion, five million, one hundred twenty-five thousand, four hundred thirty-three".