6649587025 has 27 divisors (see below), whose sum is σ = 8449005019. Its totient is φ = 5191480880.

The previous prime is 6649587013. The next prime is 6649587041. The reversal of 6649587025 is 5207859466.

The square root of 6649587025 is 81545.

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

It can be written as a sum of positive squares in only one way, i.e., 2393851329 + 4255735696 = 48927^2 + 65236^2 .

It is not a de Polignac number, because 6649587025 - 2⁹ = 6649586513 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 19162902 + ... + 19163248.

Almost surely, 2^6649587025 is an apocalyptic number.

6649587025 is the 81545-th square number.

6649587025 is the 40773-rd centered octagonal number.

It is an amenable number.

6649587025 is a deficient number, since it is larger than the sum of its proper divisors (1799417994).

6649587025 is an frugal number, since it uses more digits than its factorization.

6649587025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 798 (or 399 counting only the distinct ones).

The product of its (nonzero) digits is 3628800, while the sum is 52.

The cubic root of 6649587025 is about 1880.4634274206.

The spelling of 6649587025 in words is "six billion, six hundred forty-nine million, five hundred eighty-seven thousand, twenty-five".