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201759054137 is a prime number
BaseRepresentation
bin1011101111100111000…
…1101101100100111001
3201021202221020220010122
42323321301231210321
511301200304213022
6232404204423025
720401530443504
oct2737161554471
9637687226118
10201759054137
11786247a9653
1233128847a75
13160448a4004
149a9d97a13b
1553acae0742
hex2ef9c6d939

201759054137 has 2 divisors, whose sum is σ = 201759054138. Its totient is φ = 201759054136.

The previous prime is 201759054131. The next prime is 201759054163. The reversal of 201759054137 is 731450957102.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 167006264896 + 34752789241 = 408664^2 + 186421^2 .

It is a cyclic number.

It is not a de Polignac number, because 201759054137 - 222 = 201754859833 is a prime.

It is not a weakly prime, because it can be changed into another prime (201759054131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 100879527068 + 100879527069.

It is an arithmetic number, because the mean of its divisors is an integer number (100879527069).

Almost surely, 2201759054137 is an apocalyptic number.

It is an amenable number.

201759054137 is a deficient number, since it is larger than the sum of its proper divisors (1).

201759054137 is an equidigital number, since it uses as much as digits as its factorization.

201759054137 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 264600, while the sum is 44.

The spelling of 201759054137 in words is "two hundred one billion, seven hundred fifty-nine million, fifty-four thousand, one hundred thirty-seven".