1017009225 has 36 divisors (see below), whose sum is σ = 1834928316. Its totient is φ = 538429440.

The previous prime is 1017009221. The next prime is 1017009233. The reversal of 1017009225 is 5229007101.

1017009225 is digitally balanced in base 2, 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 132779529 + 884229696 = 11523^2 + 29736^2 .

It is not a de Polignac number, because 1017009225 - 2² = 1017009221 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1017009221) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 14329 + ... + 47321.

It is an arithmetic number, because the mean of its divisors is an integer number (50970231).

Almost surely, 2^1017009225 is an apocalyptic number.

1017009225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1017009225 is a deficient number, since it is larger than the sum of its proper divisors (817919091).

1017009225 is a wasteful number, since it uses less digits than its factorization.

1017009225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33146 (or 33138 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 27.

The square root of 1017009225 is about 31890.5820737095. The cubic root of 1017009225 is about 1005.6378960595.

The spelling of 1017009225 in words is "one billion, seventeen million, nine thousand, two hundred twenty-five".