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523232141232325 = 527273101137422857
BaseRepresentation
bin111011011111000000111100…
…1111010011100100011000101
32112121121111121112222212221211
41312332001321322130203011
51022040113411123413300
65052453305523411421
7215132163141243400
oct16676017172344305
92477544545885854
10523232141232325
111417995611012a8
124a825a89523b71
13195c576b685145
14932c7dc23ad37
1540757070354ba
hex1dbe079e9c8c5

523232141232325 has 144 divisors (see below), whose sum is σ = 778291126139664. Its totient is φ = 347810899968000.

The previous prime is 523232141232313. The next prime is 523232141232407.

523232141232325 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 24 ways, for example, as 184752875618689 + 338479265613636 = 13592383^2 + 18397806^2 .

It is not a de Polignac number, because 523232141232325 - 211 = 523232141230277 is a prime.

It is an alternating number because its digits alternate between odd and even.

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1237162297 + ... + 1237585153.

It is an arithmetic number, because the mean of its divisors is an integer number (5404799487081).

Almost surely, 2523232141232325 is an apocalyptic number.

It is an amenable number.

523232141232325 is a deficient number, since it is larger than the sum of its proper divisors (255058984907339).

523232141232325 is a wasteful number, since it uses less digits than its factorization.

523232141232325 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 423192 (or 423180 counting only the distinct ones).

The product of its digits is 518400, while the sum is 40.

The spelling of 523232141232325 in words is "five hundred twenty-three trillion, two hundred thirty-two billion, one hundred forty-one million, two hundred thirty-two thousand, three hundred twenty-five".

Divisors: 1 5 7 25 35 49 73 101 137 175 245 365 505 511 685 707 959 1225 1825 2525 2555 3425 3535 3577 4795 4949 6713 7373 10001 12775 13837 17675 17885 23975 24745 33565 36865 50005 51611 69185 70007 89425 96859 123725 167825 184325 250025 258055 345925 350035 361277 422857 484295 490049 678013 1010101 1290275 1750175 1806385 2114285 2421475 2450245 2959999 3390065 5050505 7070707 9031925 10571425 12251225 14799995 16950325 20719993 25252525 30868561 35353535 42708557 49494949 57931409 73999975 103599965 154342805 176767675 213542785 216079927 247474745 289657045 298959899 405519863 517999825 771714025 1067713925 1080399635 1237373725 1448285225 1494799495 1512559489 2027599315 2092719293 2838639041 3117724661 4228992857 5401998175 5851072309 7473997475 7562797445 10137996575 10463596465 14193195205 15588623305 21144964285 21824072627 29255361545 29602949999 37813987225 40957506163 52317982325 70965976025 77943116525 105724821425 109120363135 146276807725 148014749995 152768508389 204787530815 207220649993 286702543141 427128278557 545601815675 740073749975 763842541945 1023937654075 1036103249965 1433512715705 2135641392785 2989897949899 3819212709725 5180516249825 7167563578525 10678206963925 14949489749495 20929285649293 74747448747475 104646428246465 523232141232325