1006725433 has 24 divisors (see below), whose sum is σ = 1225421568. Its totient is φ = 823084416.

The previous prime is 1006725413. The next prime is 1006725463. The reversal of 1006725433 is 3345276001.

It is not a de Polignac number, because 1006725433 - 2²¹ = 1004628281 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1006725395 and 1006725404.

It is not an unprimeable number, because it can be changed into a prime (1006725413) 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 23 ways as a sum of consecutive naturals, for example, 486960 + ... + 489022.

It is an arithmetic number, because the mean of its divisors is an integer number (51059232).

Almost surely, 2^1006725433 is an apocalyptic number.

It is an amenable number.

1006725433 is a deficient number, since it is larger than the sum of its proper divisors (218696135).

1006725433 is a wasteful number, since it uses less digits than its factorization.

1006725433 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2533 (or 2526 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 31.

The square root of 1006725433 is about 31728.9368400519. The cubic root of 1006725433 is about 1002.2368039775.

The spelling of 1006725433 in words is "one billion, six million, seven hundred twenty-five thousand, four hundred thirty-three".