10224513 has 24 divisors (see below), whose sum is σ = 16423680. Its totient is φ = 6086880.

The previous prime is 10224503. The next prime is 10224517. The reversal of 10224513 is 31542201.

It is not a de Polignac number, because 10224513 - 2¹⁰ = 10223489 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (10224517) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2218 + ... + 5036.

It is an arithmetic number, because the mean of its divisors is an integer number (684320).

Almost surely, 2^10224513 is an apocalyptic number.

10224513 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

10224513 is a deficient number, since it is larger than the sum of its proper divisors (6199167).

10224513 is a wasteful number, since it uses less digits than its factorization.

10224513 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2869 (or 2866 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 10224513 is about 3197.5792406131. The cubic root of 10224513 is about 217.0438796496.

Adding to 10224513 its reverse (31542201), we get a palindrome (41766714).

The spelling of 10224513 in words is "ten million, two hundred twenty-four thousand, five hundred thirteen".