Search a number
-
+
505100053 is a prime number
BaseRepresentation
bin11110000110110…
…011011100010101
31022012102202000101
4132012303130111
52013301200203
6122042014101
715342164623
oct3606633425
91265382011
10505100053
1123a130167
121211a7331
138084c593
144b122513
152e52441d
hex1e1b3715

505100053 has 2 divisors, whose sum is σ = 505100054. Its totient is φ = 505100052.

The previous prime is 505100051. The next prime is 505100083. The reversal of 505100053 is 350001505.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 290975364 + 214124689 = 17058^2 + 14633^2 .

It is a cyclic number.

It is not a de Polignac number, because 505100053 - 21 = 505100051 is a prime.

Together with 505100051, it forms a pair of twin primes.

It is equal to p26610004 and since 505100053 and 26610004 have the same sum of digits, it is a Honaker prime.

It is a self number, because there is not a number n which added to its sum of digits gives 505100053.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (505100051) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 252550026 + 252550027.

It is an arithmetic number, because the mean of its divisors is an integer number (252550027).

Almost surely, 2505100053 is an apocalyptic number.

It is an amenable number.

505100053 is a deficient number, since it is larger than the sum of its proper divisors (1).

505100053 is an equidigital number, since it uses as much as digits as its factorization.

505100053 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 375, while the sum is 19.

The square root of 505100053 is about 22474.4310940233. The cubic root of 505100053 is about 796.3900120911.

Adding to 505100053 its reverse (350001505), we get a palindrome (855101558).

The spelling of 505100053 in words is "five hundred five million, one hundred thousand, fifty-three".