Search a number
-
+
541121515414013 is a prime number
BaseRepresentation
bin111101100001001011010101…
…1101101001110000111111101
32121221221201012210121200221102
41323002112223231032013331
51031411213330421222023
65154511443053342445
7221656511411656502
oct17302265355160775
92557851183550842
10541121515414013
11147466389495926
1250834b84797a25
131a2c270336c511
14978a5c767b4a9
154285c2bdc8628
hex1ec25abb4e1fd

541121515414013 has 2 divisors, whose sum is σ = 541121515414014. Its totient is φ = 541121515414012.

The previous prime is 541121515414009. The next prime is 541121515414043. The reversal of 541121515414013 is 310414515121145.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 540223196260804 + 898319153209 = 23242702^2 + 947797^2 .

It is a cyclic number.

It is not a de Polignac number, because 541121515414013 - 22 = 541121515414009 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (541121515414043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 270560757707006 + 270560757707007.

It is an arithmetic number, because the mean of its divisors is an integer number (270560757707007).

Almost surely, 2541121515414013 is an apocalyptic number.

It is an amenable number.

541121515414013 is a deficient number, since it is larger than the sum of its proper divisors (1).

541121515414013 is an equidigital number, since it uses as much as digits as its factorization.

541121515414013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 48000, while the sum is 38.

The spelling of 541121515414013 in words is "five hundred forty-one trillion, one hundred twenty-one billion, five hundred fifteen million, four hundred fourteen thousand, thirteen".