4647012561 has 27 divisors (see below), whose sum is σ = 6945338907. Its totient is φ = 2993982480.

The previous prime is 4647012553. The next prime is 4647012563. The reversal of 4647012561 is 1652107464.

The square root of 4647012561 is 68169.

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

4647012561 is a `hidden beast` number, since 4 + 6 + 470 + 125 + 61 = 666.

It can be written as a sum of positive squares in only one way, i.e., 4546130625 + 100881936 = 67425^2 + 10044^2 .

It is not a de Polignac number, because 4647012561 - 2³ = 4647012553 is a prime.

It is not an unprimeable number, because it can be changed into a prime (4647012563) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 6339351 + ... + 6340083.

Almost surely, 2^4647012561 is an apocalyptic number.

4647012561 is the 68169-th square number.

4647012561 is the 34085-th centered octagonal number.

It is an amenable number.

4647012561 is a deficient number, since it is larger than the sum of its proper divisors (2298326346).

4647012561 is an frugal number, since it uses more digits than its factorization.

4647012561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1534 (or 767 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The cubic root of 4647012561 is about 1668.7500131465.

Multiplying 4647012561 by its sum of digits (36), we get a square (167292452196 = 409014²).

The spelling of 4647012561 in words is "four billion, six hundred forty-seven million, twelve thousand, five hundred sixty-one".