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263133052431617 is a prime number
BaseRepresentation
bin111011110101000101110000…
…000111100110110100000001
31021111200021101211220200121102
4323311011300013212310001
5233442132442410302432
62331345353330504145
7106265510223603254
oct7365056007466401
91244607354820542
10263133052431617
117692a112262315
1225618b46a35055
13b3a9456a53434
1448d99c9c9309b
152064a64198962
hexef51701e6d01

263133052431617 has 2 divisors, whose sum is σ = 263133052431618. Its totient is φ = 263133052431616.

The previous prime is 263133052431607. The next prime is 263133052431631. The reversal of 263133052431617 is 716134250331362.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 262442883607921 + 690168823696 = 16200089^2 + 830764^2 .

It is a cyclic number.

It is not a de Polignac number, because 263133052431617 - 242 = 258735005920513 is a prime.

It is a super-2 number, since 2×2631330524316172 (a number of 30 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (263133052431607) 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, 131566526215808 + 131566526215809.

It is an arithmetic number, because the mean of its divisors is an integer number (131566526215809).

Almost surely, 2263133052431617 is an apocalyptic number.

It is an amenable number.

263133052431617 is a deficient number, since it is larger than the sum of its proper divisors (1).

263133052431617 is an equidigital number, since it uses as much as digits as its factorization.

263133052431617 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1632960, while the sum is 47.

The spelling of 263133052431617 in words is "two hundred sixty-three trillion, one hundred thirty-three billion, fifty-two million, four hundred thirty-one thousand, six hundred seventeen".