972288288333 has 12 divisors (see below), whose sum is σ = 1478333070240. Its totient is φ = 614076813576.

The previous prime is 972288288317. The next prime is 972288288407. The reversal of 972288288333 is 333882882279.

972288288333 is a `hidden beast` number, since 9 + 72 + 288 + 288 + 3 + 3 + 3 = 666.

972288288333 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 972288288333 - 2⁴ = 972288288317 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (972288280333) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2842948041 + ... + 2842948382.

It is an arithmetic number, because the mean of its divisors is an integer number (123194422520).

Almost surely, 2^972288288333 is an apocalyptic number.

It is an amenable number.

972288288333 is a deficient number, since it is larger than the sum of its proper divisors (506044781907).

972288288333 is a wasteful number, since it uses less digits than its factorization.

972288288333 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5685896448 (or 5685896445 counting only the distinct ones).

The product of its digits is 55738368, while the sum is 63.

It can be divided in two parts, 972288 and 288333, that added together give a palindrome (1260621).

The spelling of 972288288333 in words is "nine hundred seventy-two billion, two hundred eighty-eight million, two hundred eighty-eight thousand, three hundred thirty-three".