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54105577550081 is a prime number
BaseRepresentation
bin11000100110101011011111…
…01110101111000100000001
321002120102221201122012122122
430103111233232233010001
524042431210323100311
6311023431552414025
714252666435664551
oct1423255756570401
9232512851565578
1054105577550081
1116270056aa7782
12609a034547315
132426198725025
14d50a1c64b161
1563c6248420db
hex31356fbaf101

54105577550081 has 2 divisors, whose sum is σ = 54105577550082. Its totient is φ = 54105577550080.

The previous prime is 54105577549993. The next prime is 54105577550119. The reversal of 54105577550081 is 18005577550145.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 52662597610000 + 1442979940081 = 7256900^2 + 1201241^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-54105577550081 is a prime.

It is a super-2 number, since 2×541055775500812 (a number of 28 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (54105577550881) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 27052788775040 + 27052788775041.

It is an arithmetic number, because the mean of its divisors is an integer number (27052788775041).

Almost surely, 254105577550081 is an apocalyptic number.

It is an amenable number.

54105577550081 is a deficient number, since it is larger than the sum of its proper divisors (1).

54105577550081 is an equidigital number, since it uses as much as digits as its factorization.

54105577550081 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 4900000, while the sum is 53.

The spelling of 54105577550081 in words is "fifty-four trillion, one hundred five billion, five hundred seventy-seven million, five hundred fifty thousand, eighty-one".