1008603361 has 2 divisors, whose sum is σ = 1008603362. Its totient is φ = 1008603360.

The previous prime is 1008603329. The next prime is 1008603373. The reversal of 1008603361 is 1633068001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 915365025 + 93238336 = 30255^2 + 9656^2 .

It is a cyclic number.

It is not a de Polignac number, because 1008603361 - 2⁵ = 1008603329 is a prime.

It is not a weakly prime, because it can be changed into another prime (1008603311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 504301680 + 504301681.

It is an arithmetic number, because the mean of its divisors is an integer number (504301681).

Almost surely, 2^1008603361 is an apocalyptic number.

It is an amenable number.

1008603361 is a deficient number, since it is larger than the sum of its proper divisors (1).

1008603361 is an equidigital number, since it uses as much as digits as its factorization.

1008603361 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2592, while the sum is 28.

The square root of 1008603361 is about 31758.5163538853. The cubic root of 1008603361 is about 1002.8596018824.

The spelling of 1008603361 in words is "one billion, eight million, six hundred three thousand, three hundred sixty-one".