1006344225 has 36 divisors (see below), whose sum is σ = 1864640700. Its totient is φ = 518206080.

The previous prime is 1006344217. The next prime is 1006344239. The reversal of 1006344225 is 5224436001.

1006344225 is a `hidden beast` number, since 1 + 0 + 0 + 634 + 4 + 2 + 25 = 666.

1006344225 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 439569 + 1005904656 = 663^2 + 31716^2 .

It is not a de Polignac number, because 1006344225 - 2³ = 1006344217 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 35 ways as a sum of consecutive naturals, for example, 70590 + ... + 83639.

It is an arithmetic number, because the mean of its divisors is an integer number (51795575).

Almost surely, 2^1006344225 is an apocalyptic number.

1006344225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1006344225 is a deficient number, since it is larger than the sum of its proper divisors (858296475).

1006344225 is a wasteful number, since it uses less digits than its factorization.

1006344225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154274 (or 154266 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 1006344225 is about 31722.9290104177. The cubic root of 1006344225 is about 1002.1102852303.

The spelling of 1006344225 in words is "one billion, six million, three hundred forty-four thousand, two hundred twenty-five".