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513512255052 = 2232371291298621
BaseRepresentation
bin1110111100011111011…
…01110010111001001100
31211002110112220101112100
413132033231302321030
531403133114130202
61031523153435100
752046212102056
oct7361755627114
91732415811470
10513512255052
1118886330a735
128363226ba90
13395686a5974
141abd5a148d6
15d55701e41c
hex778fb72e4c

513512255052 has 72 divisors (see below), whose sum is σ = 1334164259792. Its totient is φ = 166414953600.

The previous prime is 513512255051. The next prime is 513512255057. The reversal of 513512255052 is 250552215315.

513512255052 is a `hidden beast` number, since 5 + 1 + 3 + 51 + 2 + 2 + 550 + 52 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 513512254998 and 513512255016.

It is not an unprimeable number, because it can be changed into a prime (513512255051) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1570302 + ... + 1868922.

Almost surely, 2513512255052 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 513512255052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (667082129896).

513512255052 is an abundant number, since it is smaller than the sum of its proper divisors (820652004740).

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

513512255052 is a wasteful number, since it uses less digits than its factorization.

513512255052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 299959 (or 299954 counting only the distinct ones).

The product of its (nonzero) digits is 75000, while the sum is 36.

The spelling of 513512255052 in words is "five hundred thirteen billion, five hundred twelve million, two hundred fifty-five thousand, fifty-two".

Divisors: 1 2 3 4 6 9 12 18 36 37 74 111 148 222 333 444 666 1291 1332 2582 3873 5164 7746 11619 15492 23238 46476 47767 95534 143301 191068 286602 298621 429903 573204 597242 859806 895863 1194484 1719612 1791726 2687589 3583452 5375178 10750356 11048977 22097954 33146931 44195908 66293862 99440793 132587724 198881586 385519711 397763172 771039422 1156559133 1542078844 2313118266 3469677399 4626236532 6939354798 13878709596 14264229307 28528458614 42792687921 57056917228 85585375842 128378063763 171170751684 256756127526 513512255052