189335331225 has 120 divisors (see below), whose sum is σ = 384151763160. Its totient is φ = 91761223680.

The previous prime is 189335331217. The next prime is 189335331233. The reversal of 189335331225 is 522133533981.

189335331225 is a `hidden beast` number, since 1 + 8 + 93 + 3 + 5 + 331 + 225 = 666.

It is an interprime number because it is at equal distance from previous prime (189335331217) and next prime (189335331233).

It can be written as a sum of positive squares in 12 ways, for example, as 44519312016 + 144816019209 = 210996^2 + 380547^2 .

It is not a de Polignac number, because 189335331225 - 2³ = 189335331217 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

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 119 ways as a sum of consecutive naturals, for example, 903499 + ... + 1093151.

It is an arithmetic number, because the mean of its divisors is an integer number (3201264693).

Almost surely, 2^189335331225 is an apocalyptic number.

189335331225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

189335331225 is an abundant number, since it is smaller than the sum of its proper divisors (194816431935).

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

189335331225 is a wasteful number, since it uses less digits than its factorization.

189335331225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189721 (or 189707 counting only the distinct ones).

The product of its digits is 583200, while the sum is 45.

The spelling of 189335331225 in words is "one hundred eighty-nine billion, three hundred thirty-five million, three hundred thirty-one thousand, two hundred twenty-five".