224352513 has 72 divisors (see below), whose sum is σ = 428792000. Its totient is φ = 110341440.

The previous prime is 224352509. The next prime is 224352517. The reversal of 224352513 is 315253422.

It is a happy number.

224352513 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (224352509) and next prime (224352517).

It is not a de Polignac number, because 224352513 - 2² = 224352509 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (224352517) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 144063 + ... + 145611.

Almost surely, 2^224352513 is an apocalyptic number.

It is an amenable number.

224352513 is a deficient number, since it is larger than the sum of its proper divisors (204439487).

224352513 is a wasteful number, since it uses less digits than its factorization.

224352513 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1603 (or 1589 counting only the distinct ones).

The product of its digits is 7200, while the sum is 27.

The square root of 224352513 is about 14978.4015502323. The cubic root of 224352513 is about 607.6362098681.

Subtracting 224352513 from its reverse (315253422), we obtain a palindrome (90900909).

It can be divided in two parts, 2243 and 52513, that added together give a square (54756 = 234²).

The spelling of 224352513 in words is "two hundred twenty-four million, three hundred fifty-two thousand, five hundred thirteen".