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54506605001 is a prime number
BaseRepresentation
bin110010110000110110…
…001100100111001001
312012200122210102111012
4302300312030213021
51343112142330001
641012345413305
73636503332562
oct626066144711
9165618712435
1054506605001
11211306150a2
12a69219a235
1351a86199c4
1428d1079169
15164033a2bb
hexcb0d8c9c9

54506605001 has 2 divisors, whose sum is σ = 54506605002. Its totient is φ = 54506605000.

The previous prime is 54506604989. The next prime is 54506605003. The reversal of 54506605001 is 10050660545.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 39396295225 + 15110309776 = 198485^2 + 122924^2 .

It is a cyclic number.

It is not a de Polignac number, because 54506605001 - 230 = 53432863177 is a prime.

Together with 54506605003, 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 (54506605003) 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, 27253302500 + 27253302501.

It is an arithmetic number, because the mean of its divisors is an integer number (27253302501).

Almost surely, 254506605001 is an apocalyptic number.

It is an amenable number.

54506605001 is a deficient number, since it is larger than the sum of its proper divisors (1).

54506605001 is an equidigital number, since it uses as much as digits as its factorization.

54506605001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 18000, while the sum is 32.

The spelling of 54506605001 in words is "fifty-four billion, five hundred six million, six hundred five thousand, one".