6388005625 has 45 divisors (see below), whose sum is σ = 8405069673. Its totient is φ = 4853046000.

The previous prime is 6388005619. The next prime is 6388005641. The reversal of 6388005625 is 5265008836.

It is a happy number.

The square root of 6388005625 is 79925.

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

It can be written as a sum of positive squares in 2 ways, for example, as 500819641 + 5887185984 = 22379^2 + 76728^2 .

It is not a de Polignac number, because 6388005625 - 2⁷ = 6388005497 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 (19) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 45956806 + ... + 45956944.

Almost surely, 2^6388005625 is an apocalyptic number.

6388005625 is the 79925-th square number.

6388005625 is the 39963-rd centered octagonal number.

It is an amenable number.

6388005625 is a deficient number, since it is larger than the sum of its proper divisors (2017064048).

6388005625 is an frugal number, since it uses more digits than its factorization.

6388005625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 344 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 43.

The cubic root of 6388005625 is about 1855.4749548491.

The spelling of 6388005625 in words is "six billion, three hundred eighty-eight million, five thousand, six hundred twenty-five".