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263198375853757 is a prime number
BaseRepresentation
bin111011110110000010100101…
…101100101011111010111101
31021111220112000100110100200121
4323312002211230223322331
5233444220233204310012
62331435355322254541
7106303312053536161
oct7366024554537275
91244815010410617
10263198375853757
1176954893669203
1225629737657451
13b3b266734ac46
1448dcc25756ca1
1520665d8e3ba07
hexef60a5b2bebd

263198375853757 has 2 divisors, whose sum is σ = 263198375853758. Its totient is φ = 263198375853756.

The previous prime is 263198375853719. The next prime is 263198375853797. The reversal of 263198375853757 is 757358573891362.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 138964747765561 + 124233628088196 = 11788331^2 + 11146014^2 .

It is a cyclic number.

It is not a de Polignac number, because 263198375853757 - 223 = 263198367465149 is a prime.

It is a super-3 number, since 3×2631983758537573 (a number of 44 digits) contains 333 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (263198375853797) 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, 131599187926878 + 131599187926879.

It is an arithmetic number, because the mean of its divisors is an integer number (131599187926879).

Almost surely, 2263198375853757 is an apocalyptic number.

It is an amenable number.

263198375853757 is a deficient number, since it is larger than the sum of its proper divisors (1).

263198375853757 is an equidigital number, since it uses as much as digits as its factorization.

263198375853757 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 8001504000, while the sum is 79.

The spelling of 263198375853757 in words is "two hundred sixty-three trillion, one hundred ninety-eight billion, three hundred seventy-five million, eight hundred fifty-three thousand, seven hundred fifty-seven".