1005214005205 has 8 divisors (see below), whose sum is σ = 1229016368952. Its totient is φ = 788998162368.

The previous prime is 1005214005143. The next prime is 1005214005209. The reversal of 1005214005205 is 5025004125001.

It can be written as a sum of positive squares in 4 ways, for example, as 135146670129 + 870067335076 = 367623^2 + 932774^2 .

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 1005214005205 - 2³¹ = 1003066521557 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 1005214005205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1005214005209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1896629934 + ... + 1896630463.

It is an arithmetic number, because the mean of its divisors is an integer number (153627046119).

Almost surely, 2^{1005214005205} is an apocalyptic number.

It is an amenable number.

1005214005205 is a deficient number, since it is larger than the sum of its proper divisors (223802363747).

1005214005205 is an equidigital number, since it uses as much as digits as its factorization.

1005214005205 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3793260455.

The product of its (nonzero) digits is 2000, while the sum is 25.

The spelling of 1005214005205 in words is "one trillion, five billion, two hundred fourteen million, five thousand, two hundred five".