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505881113 = 232612257
BaseRepresentation
bin11110001001110…
…010001000011001
31022020220102102112
4132021302020121
52014001143423
6122110442105
715351630023
oct3611621031
91266812375
10505881113
1123a613a71
12121503335
1380a63c4a
144b287013
152e62aa78
hex1e272219

505881113 has 18 divisors (see below), whose sum is σ = 539735742. Its totient is φ = 474101760.

The previous prime is 505881109. The next prime is 505881169. The reversal of 505881113 is 311188505.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 7118224 + 498762889 = 2668^2 + 22333^2 .

It is not a de Polignac number, because 505881113 - 22 = 505881109 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 505881113.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (505881193) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1968281 + ... + 1968537.

It is an arithmetic number, because the mean of its divisors is an integer number (29985319).

Almost surely, 2505881113 is an apocalyptic number.

It is an amenable number.

505881113 is a deficient number, since it is larger than the sum of its proper divisors (33854629).

505881113 is an equidigital number, since it uses as much as digits as its factorization.

505881113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 425 (or 341 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 32.

The square root of 505881113 is about 22491.8010172596. The cubic root of 505881113 is about 796.8002991424.

The spelling of 505881113 in words is "five hundred five million, eight hundred eighty-one thousand, one hundred thirteen".

Divisors: 1 23 61 257 529 1403 3721 5911 15677 32269 85583 135953 360571 956297 1968409 8293133 21994831 505881113