1005404625 has 48 divisors (see below), whose sum is σ = 1874967120. Its totient is φ = 517708800.

The previous prime is 1005404611. The next prime is 1005404641. The reversal of 1005404625 is 5264045001.

It can be written as a sum of positive squares in 8 ways, for example, as 602358849 + 403045776 = 24543^2 + 20076^2 .

It is not a de Polignac number, because 1005404625 - 2¹¹ = 1005402577 is a prime.

It is an unprimeable number.

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 in 47 ways as a sum of consecutive naturals, for example, 17217 + ... + 48033.

It is an arithmetic number, because the mean of its divisors is an integer number (39061815).

Almost surely, 2^1005404625 is an apocalyptic number.

1005404625 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1005404625 is a deficient number, since it is larger than the sum of its proper divisors (869562495).

1005404625 is a wasteful number, since it uses less digits than its factorization.

1005404625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30867 (or 30854 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 1005404625 is about 31708.1160745952. The cubic root of 1005404625 is about 1001.7983058243.

Adding to 1005404625 its reverse (5264045001), we get a palindrome (6269449626).

The spelling of 1005404625 in words is "one billion, five million, four hundred four thousand, six hundred twenty-five".