1006020305 has 16 divisors (see below), whose sum is σ = 1279521360. Its totient is φ = 756713472.

The previous prime is 1006020293. The next prime is 1006020319. The reversal of 1006020305 is 5030206001.

It can be written as a sum of positive squares in 8 ways, for example, as 3411409 + 1002608896 = 1847^2 + 31664^2 .

It is a cyclic number.

It is not a de Polignac number, because 1006020305 - 2⁶ = 1006020241 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (17).

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 15 ways as a sum of consecutive naturals, for example, 87851 + ... + 98639.

It is an arithmetic number, because the mean of its divisors is an integer number (79970085).

Almost surely, 2^1006020305 is an apocalyptic number.

It is an amenable number.

1006020305 is a deficient number, since it is larger than the sum of its proper divisors (273501055).

1006020305 is a wasteful number, since it uses less digits than its factorization.

1006020305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11908.

The product of its (nonzero) digits is 180, while the sum is 17.

The square root of 1006020305 is about 31717.8231440936. The cubic root of 1006020305 is about 1002.0027546295.

Adding to 1006020305 its reverse (5030206001), we get a palindrome (6036226306).

The spelling of 1006020305 in words is "one billion, six million, twenty thousand, three hundred five".