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55154055001 is a prime number
BaseRepresentation
bin110011010111011100…
…000001011101011001
312021100210002021220211
4303113130001131121
51400423414230001
641200514451121
73661524506113
oct632734013531
9167323067824
1055154055001
1121433031941
12a832b93aa1
13527c7ba106
1429530543b3
15167c0cc351
hexcd7701759

55154055001 has 2 divisors, whose sum is σ = 55154055002. Its totient is φ = 55154055000.

The previous prime is 55154054999. The next prime is 55154055029. The reversal of 55154055001 is 10055045155.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 53010457600 + 2143597401 = 230240^2 + 46299^2 .

It is a cyclic number.

It is not a de Polignac number, because 55154055001 - 21 = 55154054999 is a prime.

It is a super-3 number, since 3×551540550013 (a number of 33 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

Together with 55154054999, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (55154055601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 27577027500 + 27577027501.

It is an arithmetic number, because the mean of its divisors is an integer number (27577027501).

Almost surely, 255154055001 is an apocalyptic number.

It is an amenable number.

55154055001 is a deficient number, since it is larger than the sum of its proper divisors (1).

55154055001 is an equidigital number, since it uses as much as digits as its factorization.

55154055001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 12500, while the sum is 31.

The spelling of 55154055001 in words is "fifty-five billion, one hundred fifty-four million, fifty-five thousand, one".