10007523 has 16 divisors (see below), whose sum is σ = 15338400. Its totient is φ = 6441120.

The previous prime is 10007489. The next prime is 10007533. The reversal of 10007523 is 32570001.

It is not a de Polignac number, because 10007523 - 2⁸ = 10007267 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10007496 and 10007505.

It is not an unprimeable number, because it can be changed into a prime (10007533) 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 15 ways as a sum of consecutive naturals, for example, 5608 + ... + 7173.

It is an arithmetic number, because the mean of its divisors is an integer number (958650).

Almost surely, 2^10007523 is an apocalyptic number.

10007523 is a deficient number, since it is larger than the sum of its proper divisors (5330877).

10007523 is a wasteful number, since it uses less digits than its factorization.

10007523 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12819 (or 12813 counting only the distinct ones).

The product of its (nonzero) digits is 210, while the sum is 18.

The square root of 10007523 is about 3163.4669272809. The cubic root of 10007523 is about 215.4974815015.

Adding to 10007523 its reverse (32570001), we get a palindrome (42577524).

The spelling of 10007523 in words is "ten million, seven thousand, five hundred twenty-three".