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505255131 = 33611392207
BaseRepresentation
bin11110000111011…
…001010011011011
31022012201121202000
4132013121103123
52013321131011
6122045212043
715343412013
oct3607312333
91265647660
10505255131
1123a226727
12121261023
13808a5044
144b162c43
152e555356
hex1e1d94db

505255131 has 32 divisors (see below), whose sum is σ = 766617600. Its totient is φ = 328782240.

The previous prime is 505255129. The next prime is 505255183. The reversal of 505255131 is 131552505.

505255131 is a `hidden beast` number, since 5 + 0 + 525 + 5 + 131 = 666.

It is not a de Polignac number, because 505255131 - 21 = 505255129 is a prime.

It is a super-2 number, since 2×5052551312 = 510565494803654322, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 505255095 and 505255104.

It is not an unprimeable number, because it can be changed into a prime (505253131) 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 31 ways as a sum of consecutive naturals, for example, 227830 + ... + 230036.

It is an arithmetic number, because the mean of its divisors is an integer number (23956800).

Almost surely, 2505255131 is an apocalyptic number.

505255131 is a deficient number, since it is larger than the sum of its proper divisors (261362469).

505255131 is a wasteful number, since it uses less digits than its factorization.

505255131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2416 (or 2410 counting only the distinct ones).

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

The square root of 505255131 is about 22477.8809277031. The cubic root of 505255131 is about 796.4715074518.

The spelling of 505255131 in words is "five hundred five million, two hundred fifty-five thousand, one hundred thirty-one".

Divisors: 1 3 9 27 61 139 183 417 549 1251 1647 2207 3753 6621 8479 19863 25437 59589 76311 134627 228933 306773 403881 920319 1211643 2760957 3634929 8282871 18713153 56139459 168418377 505255131