10006527 has 16 divisors (see below), whose sum is σ = 13685760. Its totient is φ = 6501600.

The previous prime is 10006519. The next prime is 10006547. The reversal of 10006527 is 72560001.

It is not a de Polignac number, because 10006527 - 2³ = 10006519 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10006547) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23002 + ... + 23432.

It is an arithmetic number, because the mean of its divisors is an integer number (855360).

Almost surely, 2^10006527 is an apocalyptic number.

10006527 is a deficient number, since it is larger than the sum of its proper divisors (3679233).

10006527 is a wasteful number, since it uses less digits than its factorization.

10006527 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 614.

The product of its (nonzero) digits is 420, while the sum is 21.

The square root of 10006527 is about 3163.3095011396. The cubic root of 10006527 is about 215.4903321262.

Adding to 10006527 its reverse (72560001), we get a palindrome (82566528).

The spelling of 10006527 in words is "ten million, six thousand, five hundred twenty-seven".