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557010765697 is a prime number
BaseRepresentation
bin10000001101100000110…
…11011100011110000001
31222020202001000200102011
420012300123130132001
533111224224000242
61103515345452521
755146150250261
oct10066033343601
91866661020364
10557010765697
111a5255068591
128bb51941141
13406ab4c2969
141cd60ab37a1
15e750c1bd17
hex81b06dc781

557010765697 has 2 divisors, whose sum is σ = 557010765698. Its totient is φ = 557010765696.

The previous prime is 557010765679. The next prime is 557010765733. The reversal of 557010765697 is 796567010755.

It is a happy number.

Together with previous prime (557010765679) it forms an Ormiston pair, because they use the same digits, order apart.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 355473518656 + 201537247041 = 596216^2 + 448929^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-557010765697 is a prime.

It is not a weakly prime, because it can be changed into another prime (557010765607) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 278505382848 + 278505382849.

It is an arithmetic number, because the mean of its divisors is an integer number (278505382849).

Almost surely, 2557010765697 is an apocalyptic number.

It is an amenable number.

557010765697 is a deficient number, since it is larger than the sum of its proper divisors (1).

557010765697 is an equidigital number, since it uses as much as digits as its factorization.

557010765697 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 13891500, while the sum is 58.

The spelling of 557010765697 in words is "five hundred fifty-seven billion, ten million, seven hundred sixty-five thousand, six hundred ninety-seven".