1016205005 has 8 divisors (see below), whose sum is σ = 1291178232. Its totient is φ = 765142528.

The previous prime is 1016204999. The next prime is 1016205007. The reversal of 1016205005 is 5005026101.

1016205005 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 111218116 + 904986889 = 10546^2 + 30083^2 .

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

It is not a de Polignac number, because 1016205005 - 2¹⁶ = 1016139469 is a prime.

It is a super-2 number, since 2×1016205005² = 2065345224374100050, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1016205007) 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, 5977592 + ... + 5977761.

It is an arithmetic number, because the mean of its divisors is an integer number (161397279).

Almost surely, 2^1016205005 is an apocalyptic number.

It is an amenable number.

1016205005 is a deficient number, since it is larger than the sum of its proper divisors (274973227).

1016205005 is a wasteful number, since it uses less digits than its factorization.

1016205005 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11955375.

The product of its (nonzero) digits is 300, while the sum is 20.

The square root of 1016205005 is about 31877.9705282504. The cubic root of 1016205005 is about 1005.3727501913.

The spelling of 1016205005 in words is "one billion, sixteen million, two hundred five thousand, five".