331205384504401 has 27 divisors (see below), whose sum is σ = 380574036083227. Its totient is φ = 288000678386960.

The previous prime is 331205384504387. The next prime is 331205384504411. The reversal of 331205384504401 is 104405483502133.

The square root of 331205384504401 is 18199049.

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., 2068721273025 + 329136663231376 = 1438305^2 + 18142124^2 .

It is not a de Polignac number, because 331205384504401 - 2¹⁷ = 331205384373329 is a prime.

It is a super-2 number, since 2×331205384504401² (a number of 30 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (331205384504411) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 4604323431 + ... + 4604395363.

Almost surely, 2^{331205384504401} is an apocalyptic number.

331205384504401 is the 18199049-th square number.

331205384504401 is the 9099525-th centered octagonal number.

It is an amenable number.

331205384504401 is a deficient number, since it is larger than the sum of its proper divisors (49368651578826).

331205384504401 is an frugal number, since it uses more digits than its factorization.

331205384504401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143934 (or 71967 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 43.

The spelling of 331205384504401 in words is "three hundred thirty-one trillion, two hundred five billion, three hundred eighty-four million, five hundred four thousand, four hundred one".