9628584601 has 2 divisors, whose sum is σ = 9628584602. Its totient is φ = 9628584600.

The previous prime is 9628584551. The next prime is 9628584619. The reversal of 9628584601 is 1064858269.

9628584601 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9628319376 + 265225 = 98124^2 + 515^2 .

It is a cyclic number.

It is not a de Polignac number, because 9628584601 - 2²¹ = 9626487449 is a prime.

It is a super-2 number, since 2×9628584601² (a number of 21 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (9628584631) 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, 4814292300 + 4814292301.

It is an arithmetic number, because the mean of its divisors is an integer number (4814292301).

Almost surely, 2^9628584601 is an apocalyptic number.

It is an amenable number.

9628584601 is a deficient number, since it is larger than the sum of its proper divisors (1).

9628584601 is an equidigital number, since it uses as much as digits as its factorization.

9628584601 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 829440, while the sum is 49.

The square root of 9628584601 is about 98125.3514694342. The cubic root of 9628584601 is about 2127.4244697878.

The spelling of 9628584601 in words is "nine billion, six hundred twenty-eight million, five hundred eighty-four thousand, six hundred one".