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42005054561 is a prime number
BaseRepresentation
bin100111000111101100…
…100100010001100001
311000102101220212021112
4213013230210101201
51142011243221221
631144042033105
73014632033631
oct470754442141
9130371825245
1042005054561
11168a5838228
1281834a8795
133c655a9492
1420669c06c1
15115ca4715b
hex9c7b24461

42005054561 has 2 divisors, whose sum is σ = 42005054562. Its totient is φ = 42005054560.

The previous prime is 42005054527. The next prime is 42005054563. The reversal of 42005054561 is 16545050024.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 26031886336 + 15973168225 = 161344^2 + 126385^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-42005054561 is a prime.

Together with 42005054563, 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 (42005054563) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 21002527280 + 21002527281.

It is an arithmetic number, because the mean of its divisors is an integer number (21002527281).

Almost surely, 242005054561 is an apocalyptic number.

It is an amenable number.

42005054561 is a deficient number, since it is larger than the sum of its proper divisors (1).

42005054561 is an equidigital number, since it uses as much as digits as its factorization.

42005054561 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 24000, while the sum is 32.

The spelling of 42005054561 in words is "forty-two billion, five million, fifty-four thousand, five hundred sixty-one".