1023808009 has 15 divisors (see below), whose sum is σ = 1196203463. Its totient is φ = 876205848.

The previous prime is 1023807979. The next prime is 1023808033. The reversal of 1023808009 is 9008083201.

The square root of 1023808009 is 31997.

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

It can be written as a sum of positive squares in only one way, i.e., 238239225 + 785568784 = 15435^2 + 28028^2 .

It is not a de Polignac number, because 1023808009 - 2⁹ = 1023807497 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1023808609) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 1567527 + ... + 1568179.

Almost surely, 2^1023808009 is an apocalyptic number.

1023808009 is the 31997-th square number.

1023808009 is the 15999-th centered octagonal number.

It is an amenable number.

1023808009 is a deficient number, since it is larger than the sum of its proper divisors (172395454).

1023808009 is an frugal number, since it uses more digits than its factorization.

1023808009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1334 (or 660 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 31.

The cubic root of 1023808009 is about 1007.8738428790.

The spelling of 1023808009 in words is "one billion, twenty-three million, eight hundred eight thousand, nine".