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133759518048241 is a prime number
BaseRepresentation
bin11110011010011101010000…
…100011101111111111110001
3122112121021200210111002011221
4132122131100203233333301
5120013003443110020431
61152252135125105041
740113543356642611
oct3632352043577761
9575537623432157
10133759518048241
1139690102920118
12130035a7b58181
1359836121a6037
142505dd0c34a41
15106e5d3147111
hex79a7508efff1

133759518048241 has 2 divisors, whose sum is σ = 133759518048242. Its totient is φ = 133759518048240.

The previous prime is 133759518048089. The next prime is 133759518048269. The reversal of 133759518048241 is 142840815957331.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 69436872428641 + 64322645619600 = 8332879^2 + 8020140^2 .

It is a cyclic number.

It is not a de Polignac number, because 133759518048241 - 237 = 133622079094769 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 133759518048241.

It is not a weakly prime, because it can be changed into another prime (133759518048271) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 66879759024120 + 66879759024121.

It is an arithmetic number, because the mean of its divisors is an integer number (66879759024121).

Almost surely, 2133759518048241 is an apocalyptic number.

It is an amenable number.

133759518048241 is a deficient number, since it is larger than the sum of its proper divisors (1).

133759518048241 is an equidigital number, since it uses as much as digits as its factorization.

133759518048241 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 29030400, while the sum is 61.

The spelling of 133759518048241 in words is "one hundred thirty-three trillion, seven hundred fifty-nine billion, five hundred eighteen million, forty-eight thousand, two hundred forty-one".