963630832609 has 27 divisors (see below), whose sum is σ = 1015592510457. Its totient is φ = 914298162624.

The previous prime is 963630832601. The next prime is 963630832613. The reversal of 963630832609 is 906238036369.

It is a happy number.

The square root of 963630832609 is 981647.

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 24243424209 + 939387408400 = 155703^2 + 969220^2 .

It is not a de Polignac number, because 963630832609 - 2³ = 963630832601 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 963630832609.

It is not an unprimeable number, because it can be changed into a prime (963630832601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1561800069 + ... + 1561800685.

Almost surely, 2^963630832609 is an apocalyptic number.

963630832609 is the 981647-th square number.

963630832609 is the 490824-th centered octagonal number.

It is an amenable number.

963630832609 is a deficient number, since it is larger than the sum of its proper divisors (51961677848).

963630832609 is an frugal number, since it uses more digits than its factorization.

963630832609 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1394 (or 697 counting only the distinct ones).

The product of its (nonzero) digits is 7558272, while the sum is 55.

The spelling of 963630832609 in words is "nine hundred sixty-three billion, six hundred thirty million, eight hundred thirty-two thousand, six hundred nine".