330037611121 has 3 divisors (see below), whose sum is σ = 330038185611. Its totient is φ = 330037036632.

The previous prime is 330037611089. The next prime is 330037611157. The reversal of 330037611121 is 121116730033.

The square root of 330037611121 is 574489.

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

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It can be written as a sum of positive squares in only one way, i.e., 99407153521 + 230630457600 = 315289^2 + 480240^2 .

It is not a de Polignac number, because 330037611121 - 2⁵ = 330037611089 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 330037611121.

It is not an unprimeable number, because it can be changed into a prime (330037611521) by changing a digit.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 287245 + ... + 861733.

It is an arithmetic number, because the mean of its divisors is an integer number (110012728537).

Almost surely, 2^330037611121 is an apocalyptic number.

330037611121 is the 574489-th square number.

330037611121 is the 287245-th centered octagonal number.

It is an amenable number.

330037611121 is a deficient number, since it is larger than the sum of its proper divisors (574490).

330037611121 is an frugal number, since it uses more digits than its factorization.

330037611121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1148978 (or 574489 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 28.

The spelling of 330037611121 in words is "three hundred thirty billion, thirty-seven million, six hundred eleven thousand, one hundred twenty-one".