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516525240335 = 513192371256117
BaseRepresentation
bin1111000010000110100…
…11011011000000001111
31211101020112100220022212
413201003103123000033
531430320430142320
61033142144301035
752213656046526
oct7410323330017
91741215326285
10516525240335
1118a06a03a115
128413331177b
13399289857b0
141adddc3b4bd
15d6817ca9c5
hex78434db00f

516525240335 has 64 divisors (see below), whose sum is σ = 743520798720. Its totient is φ = 340777704960.

The previous prime is 516525240323. The next prime is 516525240359. The reversal of 516525240335 is 533042525615.

It is not a de Polignac number, because 516525240335 - 220 = 516524191759 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 516525240292 and 516525240301.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1888697 + ... + 2144813.

It is an arithmetic number, because the mean of its divisors is an integer number (11617512480).

Almost surely, 2516525240335 is an apocalyptic number.

516525240335 is a deficient number, since it is larger than the sum of its proper divisors (226995558385).

516525240335 is a wasteful number, since it uses less digits than its factorization.

516525240335 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 256248.

The product of its (nonzero) digits is 540000, while the sum is 41.

The spelling of 516525240335 in words is "five hundred sixteen billion, five hundred twenty-five million, two hundred forty thousand, three hundred thirty-five".

Divisors: 1 5 13 19 23 65 71 95 115 247 299 355 437 923 1235 1349 1495 1633 2185 4615 5681 6745 8165 17537 21229 28405 31027 87685 106145 155135 256117 403351 1280585 2016755 3329521 4866223 5890691 16647605 18184307 24331115 29453455 63260899 76578983 90921535 111923129 236395991 316304495 345501833 382894915 418239061 559615645 1181979955 1455000677 1727509165 2091195305 4491523829 5437107793 7275003385 7946542159 22457619145 27185538965 39732710795 103305048067 516525240335