329516181225 has 405 divisors, whose sum is σ = 767618775287. Its totient is φ = 135013032000.

The previous prime is 329516181199. The next prime is 329516181227. The reversal of 329516181225 is 522181615923.

The square root of 329516181225 is 574035.

It is a perfect power (a square), and thus also a powerful number.

329516181225 is a `hidden beast` number, since 3 + 2 + 9 + 5 + 1 + 618 + 1 + 2 + 25 = 666.

It can be written as a sum of positive squares in only one way, i.e., 118625825241 + 210890355984 = 344421^2 + 459228^2 .

It is not a de Polignac number, because 329516181225 - 2³⁵ = 295156442857 is a prime.

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

It is not an unprimeable number, because it can be changed into a prime (329516181227) by changing a digit.

It is a polite number, since it can be written in 404 ways as a sum of consecutive naturals, for example, 4641072940 + ... + 4641073010.

Almost surely, 2^329516181225 is an apocalyptic number.

329516181225 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

329516181225 is the 574035-th square number.

329516181225 is the 287018-th centered octagonal number.

It is an amenable number.

329516181225 is an abundant number, since it is smaller than the sum of its proper divisors (438102594062).

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

329516181225 is an equidigital number, since it uses as much as digits as its factorization.

329516181225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208 (or 97 counting only the distinct ones).

The product of its digits is 259200, while the sum is 45.

The spelling of 329516181225 in words is "three hundred twenty-nine billion, five hundred sixteen million, one hundred eighty-one thousand, two hundred twenty-five".