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972782324057 is a prime number
BaseRepresentation
bin11100010011111100101…
…10000100100101011001
310102222220212120020012002
432021332112010211121
5111414224233332212
62022520125130345
7130165311216065
oct16117626044531
93388825506162
10972782324057
11345611297135
121386469b99b5
137096b48234b
1435123740aa5
151a487034ac2
hexe27e584959

972782324057 has 2 divisors, whose sum is σ = 972782324058. Its totient is φ = 972782324056.

The previous prime is 972782324051. The next prime is 972782324153. The reversal of 972782324057 is 750423287279.

972782324057 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 962103995161 + 10678328896 = 980869^2 + 103336^2 .

It is a cyclic number.

It is not a de Polignac number, because 972782324057 - 228 = 972513888601 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 972782323993 and 972782324011.

It is not a weakly prime, because it can be changed into another prime (972782324051) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 486391162028 + 486391162029.

It is an arithmetic number, because the mean of its divisors is an integer number (486391162029).

Almost surely, 2972782324057 is an apocalyptic number.

It is an amenable number.

972782324057 is a deficient number, since it is larger than the sum of its proper divisors (1).

972782324057 is an equidigital number, since it uses as much as digits as its factorization.

972782324057 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 11854080, while the sum is 56.

The spelling of 972782324057 in words is "nine hundred seventy-two billion, seven hundred eighty-two million, three hundred twenty-four thousand, fifty-seven".