Search a number
-
+
514404125615329 is a prime number
BaseRepresentation
bin111010011110110010000101…
…1001011011010010011100001
32111110100112221222010221110121
41310331210023023122103201
51014410444122124142304
65022013554251200241
7213231320525512345
oct16475441313322341
92443315858127417
10514404125615329
111399a56234706a4
124983ab70a46081
13191051408b9471
14910541497d625
153e70c724ce554
hex1d3d90b2da4e1

514404125615329 has 2 divisors, whose sum is σ = 514404125615330. Its totient is φ = 514404125615328.

The previous prime is 514404125615293. The next prime is 514404125615351. The reversal of 514404125615329 is 923516521404415.

Together with previous prime (514404125615293) it forms an Ormiston pair, because they use the same digits, order apart.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 507976769955600 + 6427355659729 = 22538340^2 + 2535223^2 .

It is a cyclic number.

It is not a de Polignac number, because 514404125615329 - 235 = 514369765876961 is a prime.

It is a super-2 number, since 2×5144041256153292 (a number of 30 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (514404125615399) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 257202062807664 + 257202062807665.

It is an arithmetic number, because the mean of its divisors is an integer number (257202062807665).

Almost surely, 2514404125615329 is an apocalyptic number.

It is an amenable number.

514404125615329 is a deficient number, since it is larger than the sum of its proper divisors (1).

514404125615329 is an equidigital number, since it uses as much as digits as its factorization.

514404125615329 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5184000, while the sum is 52.

The spelling of 514404125615329 in words is "five hundred fourteen trillion, four hundred four billion, one hundred twenty-five million, six hundred fifteen thousand, three hundred twenty-nine".