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505003125 = 355115983
BaseRepresentation
bin11110000110011…
…011110001110101
31022012020211001110
4132012123301311
52013240100000
6122035545233
715341312214
oct3606336165
91265224043
10505003125
1123a074360
1212115b219
1380817423
144b0d907b
152e505850
hex1e19bc75

505003125 has 96 divisors (see below), whose sum is σ = 944939520. Its totient is φ = 237800000.

The previous prime is 505003117. The next prime is 505003127. The reversal of 505003125 is 521300505.

It is not a de Polignac number, because 505003125 - 23 = 505003117 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (505003127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6084334 + ... + 6084416.

It is an arithmetic number, because the mean of its divisors is an integer number (9843120).

Almost surely, 2505003125 is an apocalyptic number.

505003125 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

505003125 is a deficient number, since it is larger than the sum of its proper divisors (439936395).

505003125 is an equidigital number, since it uses as much as digits as its factorization.

505003125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 750, while the sum is 21.

The square root of 505003125 is about 22472.2745844741. The cubic root of 505003125 is about 796.3390667857.

The spelling of 505003125 in words is "five hundred five million, three thousand, one hundred twenty-five".

Divisors: 1 3 5 11 15 25 33 55 59 75 83 125 165 177 249 275 295 375 415 625 649 825 885 913 1245 1375 1475 1875 1947 2075 2739 3125 3245 4125 4425 4565 4897 6225 6875 7375 9375 9735 10375 13695 14691 16225 20625 22125 22825 24485 31125 34375 36875 48675 51875 53867 68475 73455 81125 103125 110625 114125 122425 155625 161601 184375 243375 259375 269335 342375 367275 405625 553125 570625 612125 778125 808005 1216875 1346675 1711875 1836375 2028125 2853125 3060625 4040025 6084375 6733375 8559375 9181875 15303125 20200125 33666875 45909375 101000625 168334375 505003125