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506263125 = 3541931399
BaseRepresentation
bin11110001011001…
…111011001010101
31022021121211110010
4132023033121111
52014100410000
6122122550433
715355110534
oct3613173125
91267554403
10506263125
1123a854a85
12121668419
1380b68aa4
144b34631b
152e6a3d50
hex1e2cf655

506263125 has 40 divisors (see below), whose sum is σ = 848478400. Its totient is φ = 268416000.

The previous prime is 506263091. The next prime is 506263133. The reversal of 506263125 is 521362605.

It is not a de Polignac number, because 506263125 - 27 = 506262997 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 506263092 and 506263101.

It is a congruent number.

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 361176 + ... + 362574.

It is an arithmetic number, because the mean of its divisors is an integer number (21211960).

Almost surely, 2506263125 is an apocalyptic number.

It is an amenable number.

506263125 is a deficient number, since it is larger than the sum of its proper divisors (342215275).

506263125 is a wasteful number, since it uses less digits than its factorization.

506263125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1615 (or 1600 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 30.

The square root of 506263125 is about 22500.2916647763. The cubic root of 506263125 is about 797.0008144293. Note that the first 3 decimals are identical.

The spelling of 506263125 in words is "five hundred six million, two hundred sixty-three thousand, one hundred twenty-five".

Divisors: 1 3 5 15 25 75 125 193 375 579 625 965 1399 1875 2895 4197 4825 6995 14475 20985 24125 34975 72375 104925 120625 174875 270007 361875 524625 810021 874375 1350035 2623125 4050105 6750175 20250525 33750875 101252625 168754375 506263125