1008253009 has 9 divisors (see below), whose sum is σ = 1020887569. Its totient is φ = 995774080.

The previous prime is 1008252991. The next prime is 1008253019. The reversal of 1008253009 is 9003528001.

The square root of 1008253009 is 31753.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 208947025 + 799305984 = 14455^2 + 28272^2 .

It is not a de Polignac number, because 1008253009 - 2¹⁹ = 1007728721 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1008253019) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 3587949 + ... + 3588229.

Almost surely, 2^1008253009 is an apocalyptic number.

1008253009 is the 31753-rd square number.

1008253009 is the 15877-th centered octagonal number.

It is an amenable number.

1008253009 is a deficient number, since it is larger than the sum of its proper divisors (12634560).

1008253009 is an frugal number, since it uses more digits than its factorization.

1008253009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 788 (or 394 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 28.

The cubic root of 1008253009 is about 1002.7434694921.

The spelling of 1008253009 in words is "one billion, eight million, two hundred fifty-three thousand, nine".