1005303225 has 48 divisors (see below), whose sum is σ = 1683920000. Its totient is φ = 529182720.

The previous prime is 1005303193. The next prime is 1005303227. The reversal of 1005303225 is 5223035001.

It is not a de Polignac number, because 1005303225 - 2⁵ = 1005303193 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1005303227) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2880351 + ... + 2880699.

Almost surely, 2^1005303225 is an apocalyptic number.

1005303225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1005303225 is a deficient number, since it is larger than the sum of its proper divisors (678616775).

1005303225 is a wasteful number, since it uses less digits than its factorization.

1005303225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 754 (or 749 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 21.

The square root of 1005303225 is about 31706.5170745700. The cubic root of 1005303225 is about 1001.7646259304.

Adding to 1005303225 its reverse (5223035001), we get a palindrome (6228338226).

The spelling of 1005303225 in words is "one billion, five million, three hundred three thousand, two hundred twenty-five".