329803261225 has 27 divisors (see below), whose sum is σ = 411380819031. Its totient is φ = 262287445200.

The previous prime is 329803261213. The next prime is 329803261241. The reversal of 329803261225 is 522162308923.

The square root of 329803261225 is 574285.

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

It can be written as a sum of positive squares in only one way, i.e., 118729174041 + 211074087184 = 344571^2 + 459428^2 .

It is not a de Polignac number, because 329803261225 - 2⁷ = 329803261097 is a prime.

It is a super-2 number, since 2×329803261225² (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 950441502 + ... + 950441848.

Almost surely, 2^329803261225 is an apocalyptic number.

329803261225 is the 574285-th square number.

329803261225 is the 287143-rd centered octagonal number.

It is an amenable number.

329803261225 is a deficient number, since it is larger than the sum of its proper divisors (81577557806).

329803261225 is an frugal number, since it uses more digits than its factorization.

329803261225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1366 (or 683 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 43.

The spelling of 329803261225 in words is "three hundred twenty-nine billion, eight hundred three million, two hundred sixty-one thousand, two hundred twenty-five".