225524551252000 has 768 divisors, whose sum is σ = 748551483703296. Its totient is φ = 64487923200000.

The previous prime is 225524551251973. The next prime is 225524551252073. The reversal of 225524551252000 is 252155425522.

It is a super-2 number, since 2×225524551252000² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 652479225 + ... + 652824775.

It is an arithmetic number, because the mean of its divisors is an integer number (974676411072).

Almost surely, 2^{225524551252000} is an apocalyptic number.

225524551252000 is a gapful number since it is divisible by the number (20) 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 225524551252000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (374275741851648).

225524551252000 is an abundant number, since it is smaller than the sum of its proper divisors (523026932451296).

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

225524551252000 is a wasteful number, since it uses less digits than its factorization.

225524551252000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 345770 (or 345752 counting only the distinct ones).

The product of its (nonzero) digits is 400000, while the sum is 40.

The spelling of 225524551252000 in words is "two hundred twenty-five trillion, five hundred twenty-four billion, five hundred fifty-one million, two hundred fifty-two thousand".