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173082000961 is a prime number
BaseRepresentation
bin1010000100110001111…
…1011011111001000001
3121112202101022122122001
42201030133123321001
510313432443012321
6211302431544001
715335063506462
oct2411437337101
9545671278561
10173082000961
1167449306101
122966498b001
131342461c6ac
14853d106d69
1547801dac91
hex284c7dbe41

173082000961 has 2 divisors, whose sum is σ = 173082000962. Its totient is φ = 173082000960.

The previous prime is 173082000859. The next prime is 173082000977. The reversal of 173082000961 is 169000280371.

173082000961 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 159636207025 + 13445793936 = 399545^2 + 115956^2 .

It is a cyclic number.

It is not a de Polignac number, because 173082000961 - 211 = 173081998913 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 173082000961.

It is not a weakly prime, because it can be changed into another prime (173082004961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 86541000480 + 86541000481.

It is an arithmetic number, because the mean of its divisors is an integer number (86541000481).

Almost surely, 2173082000961 is an apocalyptic number.

It is an amenable number.

173082000961 is a deficient number, since it is larger than the sum of its proper divisors (1).

173082000961 is an equidigital number, since it uses as much as digits as its factorization.

173082000961 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 18144, while the sum is 37.

The spelling of 173082000961 in words is "one hundred seventy-three billion, eighty-two million, nine hundred sixty-one", and thus it is an aban number.