1004509636 has 81 divisors (see below), whose sum is σ = 2028129159. Its totient is φ = 435095232.

The previous prime is 1004509621. The next prime is 1004509657. The reversal of 1004509636 is 6369054001.

The square root of 1004509636 is 31694.

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 26071236 + 978438400 = 5106^2 + 31280^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 18952986 + ... + 18953038.

Almost surely, 2^1004509636 is an apocalyptic number.

1004509636 is the 31694-th square number.

It is an amenable number.

1004509636 is an abundant number, since it is smaller than the sum of its proper divisors (1023619523).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1004509636 is a wasteful number, since it uses less digits than its factorization.

1004509636 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 34.

The cubic root of 1004509636 is about 1001.5009579979.

The spelling of 1004509636 in words is "one billion, four million, five hundred nine thousand, six hundred thirty-six".