6617009025 has 243 divisors, whose sum is σ = 14332211803. Its totient is φ = 2915404800.

The previous prime is 6617009017. The next prime is 6617009051. The reversal of 6617009025 is 5209007166.

The square root of 6617009025 is 81345.

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

6617009025 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 13 ways, for example, as 2155837761 + 4461171264 = 46431^2 + 66792^2 .

It is not a de Polignac number, because 6617009025 - 2³ = 6617009017 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 228172711 + ... + 228172739.

Almost surely, 2^6617009025 is an apocalyptic number.

6617009025 is the 81345-th square number.

6617009025 is the 40673-rd centered octagonal number.

It is an amenable number.

6617009025 is an abundant number, since it is smaller than the sum of its proper divisors (7715202778).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

6617009025 is a wasteful number, since it uses less digits than its factorization.

6617009025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The cubic root of 6617009025 is about 1877.3874441021.

Multiplying 6617009025 by its sum of digits (36), we get a square (238212324900 = 488070²).

The spelling of 6617009025 in words is "six billion, six hundred seventeen million, nine thousand, twenty-five".