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589129208401 is a prime number
BaseRepresentation
bin10001001001010101101…
…01100101001001010001
32002022122102112121212011
420210222311211021101
534123014034132101
61130350415302521
760364112435026
oct10445265451121
92068572477764
10589129208401
11207937096a08
129621621aa41
1343729732246
142072a60954d
15104d0802751
hex892ad65251

589129208401 has 2 divisors, whose sum is σ = 589129208402. Its totient is φ = 589129208400.

The previous prime is 589129208399. The next prime is 589129208429. The reversal of 589129208401 is 104802921985.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 574751999376 + 14377209025 = 758124^2 + 119905^2 .

It is a cyclic number.

It is not a de Polignac number, because 589129208401 - 21 = 589129208399 is a prime.

Together with 589129208399, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (589129202401) 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, 294564604200 + 294564604201.

It is an arithmetic number, because the mean of its divisors is an integer number (294564604201).

Almost surely, 2589129208401 is an apocalyptic number.

It is an amenable number.

589129208401 is a deficient number, since it is larger than the sum of its proper divisors (1).

589129208401 is an equidigital number, since it uses as much as digits as its factorization.

589129208401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 414720, while the sum is 49.

The spelling of 589129208401 in words is "five hundred eighty-nine billion, one hundred twenty-nine million, two hundred eight thousand, four hundred one".