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541165609541 is a prime number
BaseRepresentation
bin1111101111111111111…
…10111110001001000101
31220201211202120100102202
413313333332332021011
532331301344001131
61052335201044245
754045405532604
oct7677776761105
91821752510382
10541165609541
11199563973207
1288a6b326685
133c05484330b
141c29a52ba3b
15e124b10bcb
hex7dfffbe245

541165609541 has 2 divisors, whose sum is σ = 541165609542. Its totient is φ = 541165609540.

The previous prime is 541165609511. The next prime is 541165609549. The reversal of 541165609541 is 145906561145.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 357185522500 + 183980087041 = 597650^2 + 428929^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-541165609541 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (541165609549) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 270582804770 + 270582804771.

It is an arithmetic number, because the mean of its divisors is an integer number (270582804771).

Almost surely, 2541165609541 is an apocalyptic number.

It is an amenable number.

541165609541 is a deficient number, since it is larger than the sum of its proper divisors (1).

541165609541 is an equidigital number, since it uses as much as digits as its factorization.

541165609541 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 648000, while the sum is 47.

The spelling of 541165609541 in words is "five hundred forty-one billion, one hundred sixty-five million, six hundred nine thousand, five hundred forty-one".