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505135521 = 3511593203
BaseRepresentation
bin11110000110111…
…100000110100001
31022012111112200000
4132012330012201
52013303314041
6122042450213
715342403212
oct3606740641
91265445600
10505135521
1123a154880
12121203969
1380862777
144b131409
152e52ebb6
hex1e1bc1a1

505135521 has 48 divisors (see below), whose sum is σ = 839704320. Its totient is φ = 300859920.

The previous prime is 505135517. The next prime is 505135537. The reversal of 505135521 is 125531505.

505135521 is a `hidden beast` number, since 5 + 0 + 5 + 135 + 521 = 666.

It is not a de Polignac number, because 505135521 - 22 = 505135517 is a prime.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (505115521) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 156106 + ... + 159308.

It is an arithmetic number, because the mean of its divisors is an integer number (17493840).

Almost surely, 2505135521 is an apocalyptic number.

It is an amenable number.

505135521 is a deficient number, since it is larger than the sum of its proper divisors (334568799).

505135521 is a wasteful number, since it uses less digits than its factorization.

505135521 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3288 (or 3276 counting only the distinct ones).

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

The square root of 505135521 is about 22475.2201546503. The cubic root of 505135521 is about 796.4086524243.

The spelling of 505135521 in words is "five hundred five million, one hundred thirty-five thousand, five hundred twenty-one".

Divisors: 1 3 9 11 27 33 59 81 99 177 243 297 531 649 891 1593 1947 2673 3203 4779 5841 9609 14337 17523 28827 35233 52569 86481 105699 157707 188977 259443 317097 566931 778329 951291 1700793 2078747 2853873 5102379 6236241 8561619 15307137 18708723 45921411 56126169 168378507 505135521