6617985201 has 63 divisors (see below), whose sum is σ = 10452390697. Its totient is φ = 4187949480.

The previous prime is 6617985181. The next prime is 6617985229. The reversal of 6617985201 is 1025897166.

The square root of 6617985201 is 81351.

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

6617985201 is a `hidden beast` number, since 6 + 617 + 9 + 8 + 5 + 20 + 1 = 666.

It is not a de Polignac number, because 6617985201 - 2⁵ = 6617985169 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (6617985001) by changing a digit.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 50518906 + ... + 50519036.

Almost surely, 2^6617985201 is an apocalyptic number.

6617985201 is the 81351-st square number.

6617985201 is the 40676-th centered octagonal number.

It is an amenable number.

6617985201 is a deficient number, since it is larger than the sum of its proper divisors (3834405496).

6617985201 is an frugal number, since it uses more digits than its factorization.

6617985201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 326 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 45.

The cubic root of 6617985201 is about 1877.4797602551.

The spelling of 6617985201 in words is "six billion, six hundred seventeen million, nine hundred eighty-five thousand, two hundred one".