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505610505 = 3452943049
BaseRepresentation
bin11110001000110…
…000000100001001
31022020101200020000
4132020300010021
52013414014010
6122100553213
715346422051
oct3610600411
91266350200
10505610505
1123a449724
121213b2809
138099aa1a
144b216561
152e5c57c0
hex1e230109

505610505 has 40 divisors (see below), whose sum is σ = 937629000. Its totient is φ = 260354304.

The previous prime is 505610503. The next prime is 505610531. The reversal of 505610505 is 505016505.

505610505 is a `hidden beast` number, since 50 + 561 + 0 + 50 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 148060224 + 357550281 = 12168^2 + 18909^2 .

It is not a de Polignac number, because 505610505 - 21 = 505610503 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an alternating number because its digits alternate between odd and even.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (505610503) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 9780 + ... + 33269.

It is an arithmetic number, because the mean of its divisors is an integer number (23440725).

Almost surely, 2505610505 is an apocalyptic number.

It is an amenable number.

505610505 is a deficient number, since it is larger than the sum of its proper divisors (432018495).

505610505 is a wasteful number, since it uses less digits than its factorization.

505610505 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43095 (or 43086 counting only the distinct ones).

The product of its (nonzero) digits is 3750, while the sum is 27.

The square root of 505610505 is about 22485.7845093294. The cubic root of 505610505 is about 796.6581979068.

The spelling of 505610505 in words is "five hundred five million, six hundred ten thousand, five hundred five".

Divisors: 1 3 5 9 15 27 29 45 81 87 135 145 261 405 435 783 1305 2349 3915 11745 43049 129147 215245 387441 645735 1162323 1248421 1937205 3486969 3745263 5811615 6242105 11235789 17434845 18726315 33707367 56178945 101122101 168536835 505610505