1005150965 has 24 divisors (see below), whose sum is σ = 1511044920. Its totient is φ = 636225408.

The previous prime is 1005150961. The next prime is 1005150973. The reversal of 1005150965 is 5690515001.

It can be written as a sum of positive squares in 4 ways, for example, as 154728721 + 850422244 = 12439^2 + 29162^2 .

It is not a de Polignac number, because 1005150965 - 2² = 1005150961 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1005150961) 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 23 ways as a sum of consecutive naturals, for example, 154610 + ... + 160979.

It is an arithmetic number, because the mean of its divisors is an integer number (62960205).

Almost surely, 2^1005150965 is an apocalyptic number.

It is an amenable number.

1005150965 is a deficient number, since it is larger than the sum of its proper divisors (505893955).

1005150965 is a wasteful number, since it uses less digits than its factorization.

1005150965 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 315621 (or 315614 counting only the distinct ones).

The product of its (nonzero) digits is 6750, while the sum is 32.

The square root of 1005150965 is about 31704.1158999900. The cubic root of 1005150965 is about 1001.7140486918.

Adding to 1005150965 its reverse (5690515001), we get a palindrome (6695665966).

It can be divided in two parts, 10051 and 50965, that added together give a palindrome (61016).

The spelling of 1005150965 in words is "one billion, five million, one hundred fifty thousand, nine hundred sixty-five".