225201331133320 has 64 divisors (see below), whose sum is σ = 511931189029680. Its totient is φ = 89151091900416.

The previous prime is 225201331133297. The next prime is 225201331133321. The reversal of 225201331133320 is 23331133102522.

It can be written as a sum of positive squares in 8 ways, for example, as 62567372282116 + 162633958851204 = 7909954^2 + 12752802^2 .

It is a super-2 number, since 2×225201331133320² (a number of 30 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (225201331133321) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 687438202 + ... + 687765718.

Almost surely, 2^{225201331133320} is an apocalyptic number.

225201331133320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

225201331133320 is an abundant number, since it is smaller than the sum of its proper divisors (286729857896360).

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

225201331133320 is a wasteful number, since it uses less digits than its factorization.

225201331133320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 504842 (or 504838 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 31.

Adding to 225201331133320 its reverse (23331133102522), we get a palindrome (248532464235842).

The spelling of 225201331133320 in words is "two hundred twenty-five trillion, two hundred one billion, three hundred thirty-one million, one hundred thirty-three thousand, three hundred twenty".