3201409561 has 27 divisors (see below), whose sum is σ = 3816132159. Its totient is φ = 2677865568.

The previous prime is 3201409543. The next prime is 3201409567. The reversal of 3201409561 is 1659041023.

The square root of 3201409561 is 56581.

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

3201409561 is digitally balanced in base 2, 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 only one way, i.e., 1880523225 + 1320886336 = 43365^2 + 36344^2 .

It is not a de Polignac number, because 3201409561 - 2⁵ = 3201409529 is a prime.

It is not an unprimeable number, because it can be changed into a prime (3201409567) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 23367885 + ... + 23368021.

Almost surely, 2^3201409561 is an apocalyptic number.

3201409561 is the 56581-st square number.

3201409561 is the 28291-st centered octagonal number.

It is an amenable number.

3201409561 is a deficient number, since it is larger than the sum of its proper divisors (614722598).

3201409561 is an frugal number, since it uses more digits than its factorization.

3201409561 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 406 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 31.

The cubic root of 3201409561 is about 1473.8289371580.

The spelling of 3201409561 in words is "three billion, two hundred one million, four hundred nine thousand, five hundred sixty-one".