225352512 has 168 divisors, whose sum is σ = 805476672. Its totient is φ = 58521600.

The previous prime is 225352511. The next prime is 225352531. The reversal of 225352512 is 215253522.

225352512 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (168).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225352511) 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, 41812 + ... + 46892.

It is an arithmetic number, because the mean of its divisors is an integer number (4794504).

Almost surely, 2^225352512 is an apocalyptic number.

225352512 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 225352512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (402738336).

225352512 is an abundant number, since it is smaller than the sum of its proper divisors (580124160).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

225352512 is a wasteful number, since it uses less digits than its factorization.

225352512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5117 (or 5104 counting only the distinct ones).

The product of its digits is 6000, while the sum is 27.

The square root of 225352512 is about 15011.7458012051. The cubic root of 225352512 is about 608.5376707359.

The spelling of 225352512 in words is "two hundred twenty-five million, three hundred fifty-two thousand, five hundred twelve".