1006118065 has 16 divisors (see below), whose sum is σ = 1249060176. Its totient is φ = 777472000.

The previous prime is 1006118063. The next prime is 1006118081. The reversal of 1006118065 is 5608116001.

It can be written as a sum of positive squares in 8 ways, for example, as 23104 + 1006094961 = 152^2 + 31719^2 .

It is not a de Polignac number, because 1006118065 - 2¹ = 1006118063 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1006118063) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3592 + ... + 45001.

It is an arithmetic number, because the mean of its divisors is an integer number (78066261).

Almost surely, 2^1006118065 is an apocalyptic number.

It is an amenable number.

1006118065 is a deficient number, since it is larger than the sum of its proper divisors (242942111).

1006118065 is a wasteful number, since it uses less digits than its factorization.

1006118065 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48740.

The product of its (nonzero) digits is 1440, while the sum is 28.

The square root of 1006118065 is about 31719.3641960239. The cubic root of 1006118065 is about 1002.0352101098.

The spelling of 1006118065 in words is "one billion, six million, one hundred eighteen thousand, sixty-five".