225333513553000 has 128 divisors (see below), whose sum is σ = 546102028836000. Its totient is φ = 86923324723200.

The previous prime is 225333513552941. The next prime is 225333513553013. The reversal of 225333513553000 is 355315333522.

It can be written as a sum of positive squares in 16 ways, for example, as 30255698268324 + 195077815284676 = 5500518^2 + 13967026^2 .

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 31 ways as a sum of consecutive naturals, for example, 20182416 + ... + 29291584.

Almost surely, 2^{225333513553000} is an apocalyptic number.

225333513553000 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 225333513553000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273051014418000).

225333513553000 is an abundant number, since it is smaller than the sum of its proper divisors (320768515283000).

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

225333513553000 is a wasteful number, since it uses less digits than its factorization.

225333513553000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9110072 (or 9110058 counting only the distinct ones).

The product of its (nonzero) digits is 607500, while the sum is 40.

Adding to 225333513553000 its reverse (355315333522), we get a palindrome (225688828886522).

The spelling of 225333513553000 in words is "two hundred twenty-five trillion, three hundred thirty-three billion, five hundred thirteen million, five hundred fifty-three thousand".