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557046401 is a prime number
BaseRepresentation
bin100001001100111…
…101101010000001
31102211011220000012
4201030331222001
52120100441101
6131135234305
716542546662
oct4114755201
91384156005
10557046401
1126649022a
12136678995
138b539872
1453da5369
1533d85bbb
hex2133da81

557046401 has 2 divisors, whose sum is σ = 557046402. Its totient is φ = 557046400.

The previous prime is 557046367. The next prime is 557046403. The reversal of 557046401 is 104640755.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 517608001 + 39438400 = 22751^2 + 6280^2 .

It is a cyclic number.

It is not a de Polignac number, because 557046401 - 26 = 557046337 is a prime.

Together with 557046403, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (557046403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 278523200 + 278523201.

It is an arithmetic number, because the mean of its divisors is an integer number (278523201).

Almost surely, 2557046401 is an apocalyptic number.

It is an amenable number.

557046401 is a deficient number, since it is larger than the sum of its proper divisors (1).

557046401 is an equidigital number, since it uses as much as digits as its factorization.

557046401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 16800, while the sum is 32.

The square root of 557046401 is about 23601.8304586742. The cubic root of 557046401 is about 822.8053828553.

The spelling of 557046401 in words is "five hundred fifty-seven million, forty-six thousand, four hundred one".