11832000625 has 45 divisors (see below), whose sum is σ = 15672835431. Its totient is φ = 8928252000.

The previous prime is 11832000619. The next prime is 11832000683. The reversal of 11832000625 is 52600023811.

The square root of 11832000625 is 108775.

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

It can be written as a sum of positive squares in 7 ways, for example, as 3220903009 + 8611097616 = 56753^2 + 92796^2 .

It is not a de Polignac number, because 11832000625 - 2³ = 11832000617 is a prime.

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 11832000593 and 11832000602.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 51668011 + ... + 51668239.

Almost surely, 2^11832000625 is an apocalyptic number.

11832000625 is the 108775-th square number.

11832000625 is the 54388-th centered octagonal number.

It is an amenable number.

11832000625 is a deficient number, since it is larger than the sum of its proper divisors (3840834806).

11832000625 is an frugal number, since it uses more digits than its factorization.

11832000625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 516 (or 253 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 28.

The spelling of 11832000625 in words is "eleven billion, eight hundred thirty-two million, six hundred twenty-five", and thus it is an aban number.