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966553121 is a prime number
BaseRepresentation
bin111001100111000…
…110111000100001
32111100201222121202
4321213012320201
53434414144441
6235524330545
732644365062
oct7147067041
92440658552
10966553121
11456659736
1222b843a55
13125329331
1492522569
1559cc619b
hex399c6e21

966553121 has 2 divisors, whose sum is σ = 966553122. Its totient is φ = 966553120.

The previous prime is 966553111. The next prime is 966553129. The reversal of 966553121 is 121355669.

966553121 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., 924160000 + 42393121 = 30400^2 + 6511^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-966553121 is a prime.

It is not a weakly prime, because it can be changed into another prime (966553129) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 483276560 + 483276561.

It is an arithmetic number, because the mean of its divisors is an integer number (483276561).

Almost surely, 2966553121 is an apocalyptic number.

It is an amenable number.

966553121 is a deficient number, since it is larger than the sum of its proper divisors (1).

966553121 is an equidigital number, since it uses as much as digits as its factorization.

966553121 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 48600, while the sum is 38.

The square root of 966553121 is about 31089.4374506841. The cubic root of 966553121 is about 988.7243785538.

The spelling of 966553121 in words is "nine hundred sixty-six million, five hundred fifty-three thousand, one hundred twenty-one".