Search a number
-
+
513333530221489 is a prime number
BaseRepresentation
bin111010010110111111100011…
…0101110000101101110110001
32111022120012120100000221022021
41310231333012232011232301
51014240424032214041424
65015434100200311441
7213061060264020505
oct16455770656055661
92438505510027267
10513333530221489
1113962258926150a
12496a7588772581
13190581b4a31143
1490a9692816305
153e52eb32494e4
hex1d2dfc6b85bb1

513333530221489 has 2 divisors, whose sum is σ = 513333530221490. Its totient is φ = 513333530221488.

The previous prime is 513333530221453. The next prime is 513333530221559. The reversal of 513333530221489 is 984122035333315.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 278045786837025 + 235287743384464 = 16674705^2 + 15339092^2 .

It is a cyclic number.

It is not a de Polignac number, because 513333530221489 - 213 = 513333530213297 is a prime.

It is a super-2 number, since 2×5133335302214892 (a number of 30 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (513333530221409) 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, 256666765110744 + 256666765110745.

It is an arithmetic number, because the mean of its divisors is an integer number (256666765110745).

Almost surely, 2513333530221489 is an apocalyptic number.

It is an amenable number.

513333530221489 is a deficient number, since it is larger than the sum of its proper divisors (1).

513333530221489 is an equidigital number, since it uses as much as digits as its factorization.

513333530221489 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6998400, while the sum is 52.

The spelling of 513333530221489 in words is "five hundred thirteen trillion, three hundred thirty-three billion, five hundred thirty million, two hundred twenty-one thousand, four hundred eighty-nine".