225588129 has 48 divisors (see below), whose sum is σ = 343454400. Its totient is φ = 131459328.

The previous prime is 225588127. The next prime is 225588161. The reversal of 225588129 is 921885522.

225588129 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 225588129 - 2¹ = 225588127 is a prime.

It is not an unprimeable number, because it can be changed into a prime (225588127) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 984987 + ... + 985215.

It is an arithmetic number, because the mean of its divisors is an integer number (7155300).

Almost surely, 2^225588129 is an apocalyptic number.

225588129 is a gapful number since it is divisible by the number (29) formed by its first and last digit.

It is an amenable number.

225588129 is a deficient number, since it is larger than the sum of its proper divisors (117866271).

225588129 is a wasteful number, since it uses less digits than its factorization.

225588129 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 354 (or 341 counting only the distinct ones).

The product of its digits is 115200, while the sum is 42.

The square root of 225588129 is about 15019.5915057634. The cubic root of 225588129 is about 608.7496820971.

The spelling of 225588129 in words is "two hundred twenty-five million, five hundred eighty-eight thousand, one hundred twenty-nine".