Search a number
-
+
518117041 = 131741211271
BaseRepresentation
bin11110111000011…
…101011010110001
31100002221001222001
4132320131122301
52030114221131
6123225014001
715560631211
oct3670353261
91302831861
10518117041
11246511002
12125624301
1383459440
144cb50241
1530746261
hex1ee1d6b1

518117041 has 32 divisors (see below), whose sum is σ = 610315776. Its totient is φ = 435456000.

The previous prime is 518117011. The next prime is 518117059. The reversal of 518117041 is 140711815.

It is a 3-Lehmer number, since φ(518117041) divides (518117041-1)3.

It is a cyclic number.

It is a Carmichael number.

It is not a de Polignac number, because 518117041 - 217 = 517985969 is a prime.

It is a deceptive number, since it divides R518117040.

It is not an unprimeable number, because it can be changed into a prime (518117011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1911736 + ... + 1912006.

It is an arithmetic number, because the mean of its divisors is an integer number (19072368).

It is a Poulet number, since it divides 2518117040-1.

Almost surely, 2518117041 is an apocalyptic number.

It is an amenable number.

518117041 is a deficient number, since it is larger than the sum of its proper divisors (92198735).

518117041 is a wasteful number, since it uses less digits than its factorization.

518117041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 553.

The product of its (nonzero) digits is 1120, while the sum is 28.

The square root of 518117041 is about 22762.1844514098. The cubic root of 518117041 is about 803.1733544869.

Adding to 518117041 its reverse (140711815), we get a palindrome (658828856).

It can be divided in two parts, 5181 and 17041, that added together give a palindrome (22222).

The spelling of 518117041 in words is "five hundred eighteen million, one hundred seventeen thousand, forty-one".

Divisors: 1 13 17 41 211 221 271 533 697 2743 3523 3587 4607 8651 9061 11111 46631 57181 59891 112463 144443 147067 188887 743353 972077 1911871 2344421 2455531 12637001 30477473 39855157 518117041