1005147001 has 8 divisors (see below), whose sum is σ = 1021486824. Its totient is φ = 988876800.

The previous prime is 1005146977. The next prime is 1005147023. The reversal of 1005147001 is 1007415001.

It can be written as a sum of positive squares in 4 ways, for example, as 456463225 + 548683776 = 21365^2 + 23424^2 .

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 1005147001 - 2⁵ = 1005146969 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 1005147001.

It is not an unprimeable number, because it can be changed into a prime (1005147041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12105 + ... + 46441.

It is an arithmetic number, because the mean of its divisors is an integer number (127685853).

Almost surely, 2^1005147001 is an apocalyptic number.

It is an amenable number.

1005147001 is a deficient number, since it is larger than the sum of its proper divisors (16339823).

1005147001 is an equidigital number, since it uses as much as digits as its factorization.

1005147001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34811.

The product of its (nonzero) digits is 140, while the sum is 19.

The square root of 1005147001 is about 31704.0533843860. The cubic root of 1005147001 is about 1001.7127318748.

The spelling of 1005147001 in words is "one billion, five million, one hundred forty-seven thousand, one".