1005228825 has 24 divisors (see below), whose sum is σ = 1662976896. Its totient is φ = 535800000.

The previous prime is 1005228803. The next prime is 1005228883. The reversal of 1005228825 is 5288225001.

It is not a de Polignac number, because 1005228825 - 2¹¹ = 1005226777 is a prime.

It is a super-2 number, since 2×1005228825² = 2020969981221761250, which contains 22 as substring.

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 23 ways as a sum of consecutive naturals, for example, 173475 + ... + 179175.

It is an arithmetic number, because the mean of its divisors is an integer number (69290704).

Almost surely, 2^1005228825 is an apocalyptic number.

1005228825 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1005228825 is a deficient number, since it is larger than the sum of its proper divisors (657748071).

1005228825 is a wasteful number, since it uses less digits than its factorization.

1005228825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8065 (or 8060 counting only the distinct ones).

The product of its (nonzero) digits is 12800, while the sum is 33.

The square root of 1005228825 is about 31705.3437924902. The cubic root of 1005228825 is about 1001.7399126150.

The spelling of 1005228825 in words is "one billion, five million, two hundred twenty-eight thousand, eight hundred twenty-five".