1005332801 has 8 divisors (see below), whose sum is σ = 1115316000. Its totient is φ = 898447840.

The previous prime is 1005332771. The next prime is 1005332803. The reversal of 1005332801 is 1082335001.

1005332801 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 1005332801 - 2²² = 1001138497 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1005332803) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 773876 + ... + 775173.

It is an arithmetic number, because the mean of its divisors is an integer number (139414500).

Almost surely, 2^1005332801 is an apocalyptic number.

1005332801 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1005332801 is a deficient number, since it is larger than the sum of its proper divisors (109983199).

1005332801 is a wasteful number, since it uses less digits than its factorization.

1005332801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1549119.

The product of its (nonzero) digits is 720, while the sum is 23.

The square root of 1005332801 is about 31706.9834736766. The cubic root of 1005332801 is about 1001.7744497989.

Adding to 1005332801 its reverse (1082335001), we get a palindrome (2087667802).

The spelling of 1005332801 in words is "one billion, five million, three hundred thirty-two thousand, eight hundred one".