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505752975 = 3252713171453
BaseRepresentation
bin11110001001010…
…010110110001111
31022020122220122200
4132021102312033
52013433043400
6122104012543
715350554320
oct3611226617
91266586580
10505752975
1123a536772
12121461153
1380a1a820
144b252447
152e602b00
hex1e252d8f

505752975 has 144 divisors (see below), whose sum is σ = 1181299392. Its totient is φ = 200724480.

The previous prime is 505752959. The next prime is 505752983. The reversal of 505752975 is 579257505.

505752975 is a `hidden beast` number, since 5 + 0 + 57 + 529 + 75 = 666.

It is not a de Polignac number, because 505752975 - 24 = 505752959 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 505752975.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 347349 + ... + 348801.

It is an arithmetic number, because the mean of its divisors is an integer number (8203468).

Almost surely, 2505752975 is an apocalyptic number.

505752975 is an abundant number, since it is smaller than the sum of its proper divisors (675546417).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

505752975 is a wasteful number, since it uses less digits than its factorization.

505752975 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1506 (or 1498 counting only the distinct ones).

The product of its (nonzero) digits is 551250, while the sum is 45.

The square root of 505752975 is about 22488.9522877345. The cubic root of 505752975 is about 796.7330178413.

The spelling of 505752975 in words is "five hundred five million, seven hundred fifty-two thousand, nine hundred seventy-five".

Divisors: 1 3 5 7 9 13 15 17 21 25 35 39 45 51 63 65 75 85 91 105 117 119 153 175 195 221 225 255 273 315 325 357 425 455 525 585 595 663 765 819 975 1071 1105 1275 1365 1453 1547 1575 1785 1989 2275 2925 2975 3315 3825 4095 4359 4641 5355 5525 6825 7265 7735 8925 9945 10171 13077 13923 16575 18889 20475 21795 23205 24701 26775 30513 36325 38675 49725 50855 56667 65385 69615 74103 91539 94445 108975 116025 123505 132223 152565 170001 172907 222309 254275 283335 321113 326925 348075 370515 396669 457695 472225 518721 617525 661115 762825 850005 864535 963339 1111545 1190007 1416675 1556163 1605565 1852575 1983345 2247791 2288475 2593605 2890017 3305575 4250025 4322675 4816695 5557725 5950035 6743373 7780815 8027825 9916725 11238955 12968025 14450085 20230119 24083475 29750175 33716865 38904075 56194775 72250425 101150595 168584325 505752975