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2253543240541 is a prime number
BaseRepresentation
bin100000110010110001101…
…001001111001101011101
321222102210022011222100111
4200302301221033031131
5243410224032144131
64443132524330021
7321545621330125
oct40626151171535
97872708158314
102253543240541
117997a44560aa
123049030a3911
1313467b71c3a8
147b101ab7c85
153d946de5ab1
hex20cb1a4f35d

2253543240541 has 2 divisors, whose sum is σ = 2253543240542. Its totient is φ = 2253543240540.

The previous prime is 2253543240527. The next prime is 2253543240583. The reversal of 2253543240541 is 1450423453522.

2253543240541 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1986326615641 + 267216624900 = 1409371^2 + 516930^2 .

It is a cyclic number.

It is not a de Polignac number, because 2253543240541 - 27 = 2253543240413 is a prime.

It is a super-3 number, since 3×22535432405413 (a number of 38 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2253543240494 and 2253543240503.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2253543240941) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1126771620270 + 1126771620271.

It is an arithmetic number, because the mean of its divisors is an integer number (1126771620271).

Almost surely, 22253543240541 is an apocalyptic number.

It is an amenable number.

2253543240541 is a deficient number, since it is larger than the sum of its proper divisors (1).

2253543240541 is an equidigital number, since it uses as much as digits as its factorization.

2253543240541 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 576000, while the sum is 40.

The spelling of 2253543240541 in words is "two trillion, two hundred fifty-three billion, five hundred forty-three million, two hundred forty thousand, five hundred forty-one".