225513511300 has 144 divisors (see below), whose sum is σ = 610350935040. Its totient is φ = 70262928000.

The previous prime is 225513511297. The next prime is 225513511337. The reversal of 225513511300 is 3115315522.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 31497121 + ... + 31504279.

It is an arithmetic number, because the mean of its divisors is an integer number (4238548160).

Almost surely, 2^225513511300 is an apocalyptic number.

225513511300 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 225513511300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (305175467520).

225513511300 is an abundant number, since it is smaller than the sum of its proper divisors (384837423740).

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

225513511300 is a wasteful number, since it uses less digits than its factorization.

225513511300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11282 (or 11275 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 28.

Adding to 225513511300 its reverse (3115315522), we get a palindrome (228628826822).

The spelling of 225513511300 in words is "two hundred twenty-five billion, five hundred thirteen million, five hundred eleven thousand, three hundred".