965320005049 has 27 divisors (see below), whose sum is σ = 1005226631757. Its totient is φ = 926983564416.

The previous prime is 965320004993. The next prime is 965320005077. The reversal of 965320005049 is 940500023569.

The square root of 965320005049 is 982507.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 342041334649 + 623278670400 = 584843^2 + 789480^2 .

It is not a de Polignac number, because 965320005049 - 2¹¹ = 965320003001 is a prime.

It is a super-3 number, since 3×965320005049³ (a number of 37 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (43).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 965320004996 and 965320005014.

It is not an unprimeable number, because it can be changed into a prime (965320008049) 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 26 ways as a sum of consecutive naturals, for example, 3084089317 + ... + 3084089629.

It is an arithmetic number, because the mean of its divisors is an integer number (37230615991).

Almost surely, 2^965320005049 is an apocalyptic number.

965320005049 is the 982507-th square number.

965320005049 is the 491254-th centered octagonal number.

It is an amenable number.

965320005049 is a deficient number, since it is larger than the sum of its proper divisors (39906626708).

965320005049 is an frugal number, since it uses more digits than its factorization.

965320005049 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 858 (or 429 counting only the distinct ones).

The product of its (nonzero) digits is 291600, while the sum is 43.

The spelling of 965320005049 in words is "nine hundred sixty-five billion, three hundred twenty million, five thousand, forty-nine".