1007872009 has 9 divisors (see below), whose sum is σ = 1028965063. Its totient is φ = 987204712.

The previous prime is 1007872007. The next prime is 1007872027. The reversal of 1007872009 is 9002787001.

The square root of 1007872009 is 31747.

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., 726572025 + 281299984 = 26955^2 + 16772^2 .

It is not a de Polignac number, because 1007872009 - 2¹ = 1007872007 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1007872007) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1682292 + ... + 1682890.

Almost surely, 2^1007872009 is an apocalyptic number.

1007872009 is the 31747-th square number.

1007872009 is the 15874-th centered octagonal number.

It is an amenable number.

1007872009 is a deficient number, since it is larger than the sum of its proper divisors (21093054).

1007872009 is an frugal number, since it uses more digits than its factorization.

1007872009 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1304 (or 652 counting only the distinct ones).

The product of its (nonzero) digits is 7056, while the sum is 34.

The cubic root of 1007872009 is about 1002.6171475633.

Multiplying 1007872009 by its product of nonzero digits (7056), we get a square (7111544895504 = 2666748²).

The spelling of 1007872009 in words is "one billion, seven million, eight hundred seventy-two thousand, nine".