331028773201 has 9 divisors (see below), whose sum is σ = 385078972251. Its totient is φ = 283735496352.

The previous prime is 331028773193. The next prime is 331028773219. The reversal of 331028773201 is 102377820133.

The square root of 331028773201 is 575351.

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., 2901438225 + 328127334976 = 53865^2 + 572824^2 .

It is not a de Polignac number, because 331028773201 - 2³ = 331028773193 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (331028773301) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 3986361 + ... + 4068553.

Almost surely, 2^331028773201 is an apocalyptic number.

331028773201 is the 575351-st square number.

331028773201 is the 287676-th centered octagonal number.

It is an amenable number.

331028773201 is a deficient number, since it is larger than the sum of its proper divisors (54050199050).

331028773201 is an frugal number, since it uses more digits than its factorization.

331028773201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164400 (or 82200 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 37.

The spelling of 331028773201 in words is "three hundred thirty-one billion, twenty-eight million, seven hundred seventy-three thousand, two hundred one".