1006505165 has 8 divisors (see below), whose sum is σ = 1207978488. Its totient is φ = 805089280.

The previous prime is 1006505153. The next prime is 1006505167. The reversal of 1006505165 is 5615056001.

It can be written as a sum of positive squares in 4 ways, for example, as 209120521 + 797384644 = 14461^2 + 28238^2 .

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

It is not a de Polignac number, because 1006505165 - 2¹⁰ = 1006504141 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1006505167) 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, 52529 + ... + 69081.

It is an arithmetic number, because the mean of its divisors is an integer number (150997311).

Almost surely, 2^1006505165 is an apocalyptic number.

It is an amenable number.

1006505165 is a deficient number, since it is larger than the sum of its proper divisors (201473323).

1006505165 is a wasteful number, since it uses less digits than its factorization.

1006505165 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28719.

The product of its (nonzero) digits is 4500, while the sum is 29.

The square root of 1006505165 is about 31725.4655600198. The cubic root of 1006505165 is about 1002.1637033446.

The spelling of 1006505165 in words is "one billion, six million, five hundred five thousand, one hundred sixty-five".