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6005003028553 is a prime number
BaseRepresentation
bin101011101100010011000…
…0100101000100001001001
3210021001221222121201212001
41113120212010220201021
51241341221233403203
620434354343151001
71156563400361224
oct127304604504111
923231858551761
106005003028553
111a057867288a1
1280b987445461
13347366a0c019
1416a90243c5bb
15a630d2db91d
hex57626128849

6005003028553 has 2 divisors, whose sum is σ = 6005003028554. Its totient is φ = 6005003028552.

The previous prime is 6005003028509. The next prime is 6005003028581. The reversal of 6005003028553 is 3558203005006.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 5842913852944 + 162089175609 = 2417212^2 + 402603^2 .

It is a cyclic number.

It is not a de Polignac number, because 6005003028553 - 29 = 6005003028041 is a prime.

It is a super-3 number, since 3×60050030285533 (a number of 39 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not a weakly prime, because it can be changed into another prime (6005003028953) 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, 3002501514276 + 3002501514277.

It is an arithmetic number, because the mean of its divisors is an integer number (3002501514277).

Almost surely, 26005003028553 is an apocalyptic number.

It is an amenable number.

6005003028553 is a deficient number, since it is larger than the sum of its proper divisors (1).

6005003028553 is an equidigital number, since it uses as much as digits as its factorization.

6005003028553 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 108000, while the sum is 37.

The spelling of 6005003028553 in words is "six trillion, five billion, three million, twenty-eight thousand, five hundred fifty-three".