225106313 has 16 divisors (see below), whose sum is σ = 239347200. Its totient is φ = 211273920.

The previous prime is 225106309. The next prime is 225106337. The reversal of 225106313 is 313601522.

It is a cyclic number.

It is not a de Polignac number, because 225106313 - 2² = 225106309 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is not an unprimeable number, because it can be changed into a prime (225106303) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 415823 + ... + 416363.

It is an arithmetic number, because the mean of its divisors is an integer number (14959200).

Almost surely, 2^225106313 is an apocalyptic number.

225106313 is a gapful number since it is divisible by the number (23) formed by its first and last digit.

It is an amenable number.

225106313 is a deficient number, since it is larger than the sum of its proper divisors (14240887).

225106313 is a wasteful number, since it uses less digits than its factorization.

225106313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 872.

The product of its (nonzero) digits is 1080, while the sum is 23.

The square root of 225106313 is about 15003.5433481561. The cubic root of 225106313 is about 608.3159796055.

Adding to 225106313 its reverse (313601522), we get a palindrome (538707835).

The spelling of 225106313 in words is "two hundred twenty-five million, one hundred six thousand, three hundred thirteen".