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556006993 is a prime number
BaseRepresentation
bin100001001000111…
…111111001010001
31102202020002012121
4201020333321101
52114314210433
6131101054241
716530660433
oct4110777121
91382202177
10556006993
11265940313
12136257381
138b264729
1453bb4653
1533c2cc2d
hex2123fe51

556006993 has 2 divisors, whose sum is σ = 556006994. Its totient is φ = 556006992.

The previous prime is 556006943. The next prime is 556006999. The reversal of 556006993 is 399600655.

It is a happy number.

556006993 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 312865344 + 243141649 = 17688^2 + 15593^2 .

It is a cyclic number.

It is not a de Polignac number, because 556006993 - 213 = 555998801 is a prime.

556006993 is a modest number, since divided by 6993 gives 556 as remainder.

It is equal to p29143969 and since 556006993 and 29143969 have the same sum of digits, it is a Honaker prime.

It is not a weakly prime, because it can be changed into another prime (556006999) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 278003496 + 278003497.

It is an arithmetic number, because the mean of its divisors is an integer number (278003497).

Almost surely, 2556006993 is an apocalyptic number.

It is an amenable number.

556006993 is a deficient number, since it is larger than the sum of its proper divisors (1).

556006993 is an equidigital number, since it uses as much as digits as its factorization.

556006993 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 218700, while the sum is 43.

The square root of 556006993 is about 23579.8005292666. The cubic root of 556006993 is about 822.2932992535.

The spelling of 556006993 in words is "five hundred fifty-six million, six thousand, nine hundred ninety-three".