1005604801 has 2 divisors, whose sum is σ = 1005604802. Its totient is φ = 1005604800.

The previous prime is 1005604799. The next prime is 1005604807. The reversal of 1005604801 is 1084065001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 678863025 + 326741776 = 26055^2 + 18076^2 .

It is an emirp because it is prime and its reverse (1084065001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 1005604801 - 2¹ = 1005604799 is a prime.

It is a super-2 number, since 2×1005604801² = 2022482031588499202, which contains 22 as substring.

Together with 1005604799, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (1005604807) 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, 502802400 + 502802401.

It is an arithmetic number, because the mean of its divisors is an integer number (502802401).

Almost surely, 2^1005604801 is an apocalyptic number.

It is an amenable number.

1005604801 is a deficient number, since it is larger than the sum of its proper divisors (1).

1005604801 is an equidigital number, since it uses as much as digits as its factorization.

1005604801 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 960, while the sum is 25.

The square root of 1005604801 is about 31711.2724594899. The cubic root of 1005604801 is about 1001.8647874064.

Adding to 1005604801 its reverse (1084065001), we get a palindrome (2089669802).

The spelling of 1005604801 in words is "one billion, five million, six hundred four thousand, eight hundred one".