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557878525013281 is a prime number
BaseRepresentation
bin111111011011000110011011…
…1010011111010110100100001
32201011021122222121111121112111
41332312030313103322310201
51041110240204400411111
65254301504544355321
7225336251626304113
oct17666146723726441
92634248877447474
10557878525013281
11151836a5456368a
12526a0719315b41
131ac3994704b744
149ba96711293b3
154476a79cb4a21
hex1fb63374fad21

557878525013281 has 2 divisors, whose sum is σ = 557878525013282. Its totient is φ = 557878525013280.

The previous prime is 557878525013279. The next prime is 557878525013399. The reversal of 557878525013281 is 182310525878755.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 474941822785600 + 82936702227681 = 21793160^2 + 9106959^2 .

It is a cyclic number.

It is not a de Polignac number, because 557878525013281 - 21 = 557878525013279 is a prime.

It is a super-2 number, since 2×5578785250132812 (a number of 30 digits) contains 22 as substring.

Together with 557878525013279, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (557878525014281) 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, 278939262506640 + 278939262506641.

It is an arithmetic number, because the mean of its divisors is an integer number (278939262506641).

Almost surely, 2557878525013281 is an apocalyptic number.

It is an amenable number.

557878525013281 is a deficient number, since it is larger than the sum of its proper divisors (1).

557878525013281 is an equidigital number, since it uses as much as digits as its factorization.

557878525013281 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 188160000, while the sum is 67.

The spelling of 557878525013281 in words is "five hundred fifty-seven trillion, eight hundred seventy-eight billion, five hundred twenty-five million, thirteen thousand, two hundred eighty-one".