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516968477025 = 352711136886027
BaseRepresentation
bin1111000010111011011…
…10001111000101100001
31211102101102101122202120
413201131232033011201
531432222412231100
61033254140334453
752230650360010
oct7413556170541
91742342348676
10516968477025
1118a277256430
1284237844429
1339999754c20
141b042a58a77
15d6aa6800a0
hex785db8f161

516968477025 has 96 divisors (see below), whose sum is σ = 1147597882368. Its totient is φ = 198317548800.

The previous prime is 516968477023. The next prime is 516968477027. The reversal of 516968477025 is 520774869615.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (516968477023) and next prime (516968477027).

It is not a de Polignac number, because 516968477025 - 21 = 516968477023 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 516968477025.

It is not an unprimeable number, because it can be changed into a prime (516968477023) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3367939 + ... + 3518088.

It is an arithmetic number, because the mean of its divisors is an integer number (11954144608).

Almost surely, 2516968477025 is an apocalyptic number.

516968477025 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

516968477025 is an abundant number, since it is smaller than the sum of its proper divisors (630629405343).

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

516968477025 is a wasteful number, since it uses less digits than its factorization.

516968477025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6886071 (or 6886066 counting only the distinct ones).

The product of its (nonzero) digits is 25401600, while the sum is 60.

The spelling of 516968477025 in words is "five hundred sixteen billion, nine hundred sixty-eight million, four hundred seventy-seven thousand, twenty-five".

Divisors: 1 3 5 7 11 13 15 21 25 33 35 39 55 65 75 77 91 105 143 165 175 195 231 273 275 325 385 429 455 525 715 825 975 1001 1155 1365 1925 2145 2275 3003 3575 5005 5775 6825 10725 15015 25025 75075 6886027 20658081 34430135 48202189 75746297 89518351 103290405 144606567 172150675 227238891 241010945 268555053 378731485 447591755 516452025 530224079 626628457 723032835 984701861 1136194455 1205054725 1342775265 1590672237 1879885371 1893657425 2237958775 2651120395 2954105583 3133142285 3615164175 4923509305 5680972275 6713876325 6892913027 7953361185 9399426855 13255601975 14770527915 15665711425 20678739081 24617546525 34464565135 39766805925 46997134275 73852639575 103393695405 172322825675 516968477025