225753125282175 has 24 divisors (see below), whose sum is σ = 379571356414080. Its totient is φ = 118360960597600.

The previous prime is 225753125282173. The next prime is 225753125282177. The reversal of 225753125282175 is 571282521357522.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (225753125282173) and next prime (225753125282177).

It is not a de Polignac number, because 225753125282175 - 2¹ = 225753125282173 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225753125282173) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 25508823291 + ... + 25508832140.

It is an arithmetic number, because the mean of its divisors is an integer number (15815473183920).

Almost surely, 2^{225753125282175} is an apocalyptic number.

225753125282175 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

225753125282175 is a deficient number, since it is larger than the sum of its proper divisors (153818231131905).

225753125282175 is a wasteful number, since it uses less digits than its factorization.

225753125282175 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51017655503 (or 51017655498 counting only the distinct ones).

The product of its digits is 23520000, while the sum is 57.

The spelling of 225753125282175 in words is "two hundred twenty-five trillion, seven hundred fifty-three billion, one hundred twenty-five million, two hundred eighty-two thousand, one hundred seventy-five".