1005241205 has 8 divisors (see below), whose sum is σ = 1219843800. Its totient is φ = 795156736.

The previous prime is 1005241177. The next prime is 1005241231. The reversal of 1005241205 is 5021425001.

It can be written as a sum of positive squares in 4 ways, for example, as 39212644 + 966028561 = 6262^2 + 31081^2 .

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 1005241205 - 2⁶ = 1005241141 is a prime.

It is a congruent number.

It is an unprimeable number.

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, 1129040 + ... + 1129929.

It is an arithmetic number, because the mean of its divisors is an integer number (152480475).

Almost surely, 2^1005241205 is an apocalyptic number.

It is an amenable number.

1005241205 is a deficient number, since it is larger than the sum of its proper divisors (214602595).

1005241205 is an equidigital number, since it uses as much as digits as its factorization.

1005241205 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2259063.

The product of its (nonzero) digits is 400, while the sum is 20.

The square root of 1005241205 is about 31705.5390271164. The cubic root of 1005241205 is about 1001.7440249421.

Adding to 1005241205 its reverse (5021425001), we get a palindrome (6026666206).

The spelling of 1005241205 in words is "one billion, five million, two hundred forty-one thousand, two hundred five".