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513525610136 = 237111638150891
BaseRepresentation
bin1110111100100001000…
…00101111011010011000
31211002111111000220021002
413132100200233122120
531403200024011021
61031524352004132
752046433444140
oct7362040573230
91732444026232
10513525610136
1118886a9015a0
1283636830648
133956b3a0696
141abd76cd920
15d5582ab50b
hex779082f698

513525610136 has 64 divisors (see below), whose sum is σ = 1200546351360. Its totient is φ = 200058768000.

The previous prime is 513525610109. The next prime is 513525610187. The reversal of 513525610136 is 631016525315.

It is a self number, because there is not a number n which added to its sum of digits gives 513525610136.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10065251 + ... + 10116141.

It is an arithmetic number, because the mean of its divisors is an integer number (18758536740).

Almost surely, 2513525610136 is an apocalyptic number.

513525610136 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

513525610136 is an abundant number, since it is smaller than the sum of its proper divisors (687020741224).

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

513525610136 is a wasteful number, since it uses less digits than its factorization.

513525610136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67296 (or 67292 counting only the distinct ones).

The product of its (nonzero) digits is 81000, while the sum is 38.

The spelling of 513525610136 in words is "five hundred thirteen billion, five hundred twenty-five million, six hundred ten thousand, one hundred thirty-six".

Divisors: 1 2 4 7 8 11 14 22 28 44 56 77 88 154 308 616 16381 32762 50891 65524 101782 114667 131048 180191 203564 229334 356237 360382 407128 458668 559801 712474 720764 917336 1119602 1261337 1424948 1441528 2239204 2522674 2849896 3918607 4478408 5045348 7837214 10090696 15674428 31348856 833645471 1667290942 3334581884 5835518297 6669163768 9170100181 11671036594 18340200362 23342073188 36680400724 46684146376 64190701267 73360801448 128381402534 256762805068 513525610136