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2581408088293 is a prime number
BaseRepresentation
bin100101100100000111111…
…010011000000011100101
3100010210001202201221012211
4211210013322120003211
5314243210432311133
65253514342043421
7354333461466616
oct45440772300345
910123052657184
102581408088293
119058506289a1
12358364419571
1315956c468098
148cd25867c0d
1547235a20bcd
hex25907e980e5

2581408088293 has 2 divisors, whose sum is σ = 2581408088294. Its totient is φ = 2581408088292.

The previous prime is 2581408088291. The next prime is 2581408088339. The reversal of 2581408088293 is 3928808041852.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2175840355329 + 405567732964 = 1475073^2 + 636842^2 .

It is a cyclic number.

It is not a de Polignac number, because 2581408088293 - 21 = 2581408088291 is a prime.

Together with 2581408088291, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2581408088291) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1290704044146 + 1290704044147.

It is an arithmetic number, because the mean of its divisors is an integer number (1290704044147).

Almost surely, 22581408088293 is an apocalyptic number.

It is an amenable number.

2581408088293 is a deficient number, since it is larger than the sum of its proper divisors (1).

2581408088293 is an equidigital number, since it uses as much as digits as its factorization.

2581408088293 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8847360, while the sum is 58.

The spelling of 2581408088293 in words is "two trillion, five hundred eighty-one billion, four hundred eight million, eighty-eight thousand, two hundred ninety-three".