9601786755625 has 135 divisors (see below), whose sum is σ = 13366116158857. Its totient is φ = 6893436352000.

The previous prime is 9601786755607. The next prime is 9601786755637. The reversal of 9601786755625 is 5265576871069.

The square root of 9601786755625 is 3098675.

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

It can be written as a sum of positive squares in 22 ways, for example, as 7106814871321 + 2494971884304 = 2665861^2 + 1579548^2 .

It is not a de Polignac number, because 9601786755625 - 2⁵ = 9601786755593 is a prime.

It is a Duffinian number.

It is an unprimeable number.

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 134 ways as a sum of consecutive naturals, for example, 30289547967 + ... + 30289548283.

Almost surely, 2^{9601786755625} is an apocalyptic number.

9601786755625 is the 3098675-th square number.

9601786755625 is the 1549338-th centered octagonal number.

It is an amenable number.

9601786755625 is a deficient number, since it is larger than the sum of its proper divisors (3764329403232).

9601786755625 is an frugal number, since it uses more digits than its factorization.

9601786755625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 734 (or 362 counting only the distinct ones).

The product of its (nonzero) digits is 190512000, while the sum is 67.

The spelling of 9601786755625 in words is "nine trillion, six hundred one billion, seven hundred eighty-six million, seven hundred fifty-five thousand, six hundred twenty-five".