9008505361 has 2 divisors, whose sum is σ = 9008505362. Its totient is φ = 9008505360.

The previous prime is 9008505293. The next prime is 9008505367. The reversal of 9008505361 is 1635058009.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 7420961025 + 1587544336 = 86145^2 + 39844^2 .

It is a cyclic number.

It is not a de Polignac number, because 9008505361 - 2²³ = 9000116753 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 9008505361.

It is not a weakly prime, because it can be changed into another prime (9008505367) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 4504252680 + 4504252681.

It is an arithmetic number, because the mean of its divisors is an integer number (4504252681).

Almost surely, 2^9008505361 is an apocalyptic number.

It is an amenable number.

9008505361 is a deficient number, since it is larger than the sum of its proper divisors (1).

9008505361 is an equidigital number, since it uses as much as digits as its factorization.

9008505361 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 32400, while the sum is 37.

The square root of 9008505361 is about 94913.1464076500. The cubic root of 9008505361 is about 2080.7388709621.

The spelling of 9008505361 in words is "nine billion, eight million, five hundred five thousand, three hundred sixty-one".