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513521212006 = 211177431847983
BaseRepresentation
bin1110111100100000011…
…11111101101001100110
31211002111011202110011101
413132100033331221212
531403142412241011
61031524113430314
752046351165455
oct7362017755146
91732434673141
10513521212006
11188868378180
128363526b39a
133956a4c083a
141abd6ca6b9c
15d557bdd2c1
hex77903fda66

513521212006 has 32 divisors (see below), whose sum is σ = 890935262208. Its totient is φ = 219392423040.

The previous prime is 513521211977. The next prime is 513521212007. The reversal of 513521212006 is 600212125315.

It is a super-2 number, since 2×5135212120062 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (513521212007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 646110 + ... + 1201873.

It is an arithmetic number, because the mean of its divisors is an integer number (27841726944).

Almost surely, 2513521212006 is an apocalyptic number.

513521212006 is a deficient number, since it is larger than the sum of its proper divisors (377414050202).

513521212006 is a wasteful number, since it uses less digits than its factorization.

513521212006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1848756.

The product of its (nonzero) digits is 3600, while the sum is 28.

It can be divided in two parts, 513521 and 212006, that added together give a palindrome (725527).

The spelling of 513521212006 in words is "five hundred thirteen billion, five hundred twenty-one million, two hundred twelve thousand, six".

Divisors: 1 2 11 17 22 34 187 374 743 1486 8173 12631 16346 25262 138941 277882 1847983 3695966 20327813 31415711 40655626 62831422 345572821 691145642 1373051369 2746102738 15103565059 23341873273 30207130118 46683746546 256760606003 513521212006