225529264520 has 128 divisors (see below), whose sum is σ = 586958400000. Its totient is φ = 76389046272.

The previous prime is 225529264511. The next prime is 225529264523. The reversal of 225529264520 is 25462925522.

It is not an unprimeable number, because it can be changed into a prime (225529264523) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 34859846 + ... + 34866314.

It is an arithmetic number, because the mean of its divisors is an integer number (4585612500).

Almost surely, 2^225529264520 is an apocalyptic number.

225529264520 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 225529264520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (293479200000).

225529264520 is an abundant number, since it is smaller than the sum of its proper divisors (361429135480).

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

225529264520 is a wasteful number, since it uses less digits than its factorization.

225529264520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7975 (or 7971 counting only the distinct ones).

The product of its (nonzero) digits is 864000, while the sum is 44.

The spelling of 225529264520 in words is "two hundred twenty-five billion, five hundred twenty-nine million, two hundred sixty-four thousand, five hundred twenty".