4561564801 has 2 divisors, whose sum is σ = 4561564802. Its totient is φ = 4561564800.

The previous prime is 4561564759. The next prime is 4561564823. The reversal of 4561564801 is 1084651654.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2460259201 + 2101305600 = 49601^2 + 45840^2 .

It is a cyclic number.

It is not a de Polignac number, because 4561564801 - 2¹³ = 4561556609 is a prime.

It is not a weakly prime, because it can be changed into another prime (4561561801) 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 as a sum of consecutive naturals, namely, 2280782400 + 2280782401.

It is an arithmetic number, because the mean of its divisors is an integer number (2280782401).

Almost surely, 2^4561564801 is an apocalyptic number.

It is an amenable number.

4561564801 is a deficient number, since it is larger than the sum of its proper divisors (1).

4561564801 is an equidigital number, since it uses as much as digits as its factorization.

4561564801 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 115200, while the sum is 40.

The square root of 4561564801 is about 67539.3574221727. The cubic root of 4561564801 is about 1658.4585294828.

The spelling of 4561564801 in words is "four billion, five hundred sixty-one million, five hundred sixty-four thousand, eight hundred one".