10006504 has 8 divisors (see below), whose sum is σ = 18762210. Its totient is φ = 5003248.

The previous prime is 10006499. The next prime is 10006511. The reversal of 10006504 is 40560001.

It can be written as a sum of positive squares in only one way, i.e., 7452900 + 2553604 = 2730^2 + 1598^2 .

It is a tau number, because it is divible by the number of its divisors (8).

It is an unprimeable number.

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 as a sum of consecutive naturals, namely, 625399 + ... + 625414.

Almost surely, 2^10006504 is an apocalyptic number.

It is an amenable number.

10006504 is a deficient number, since it is larger than the sum of its proper divisors (8755706).

10006504 is a wasteful number, since it uses less digits than its factorization.

10006504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1250819 (or 1250815 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 16.

The square root of 10006504 is about 3163.3058657044. The cubic root of 10006504 is about 215.4901670246.

Adding to 10006504 its reverse (40560001), we get a palindrome (50566505).

The spelling of 10006504 in words is "ten million, six thousand, five hundred four".