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523240042325 = 527111327920359
BaseRepresentation
bin1111001110100111000…
…10010110111101010101
31212000120111110011222212
413213103202112331111
532033043422323300
61040212334003205
752542242655650
oct7472342267525
91760514404885
10523240042325
111919a53aa250
12854a8046505
133a458b74100
141b479958897
15d92605b935
hex79d3896f55

523240042325 has 144 divisors (see below), whose sum is σ = 887057510400. Its totient is φ = 297259372800.

The previous prime is 523240042313. The next prime is 523240042327.

523240042325 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 523240042325 - 28 = 523240042069 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 523240042291 and 523240042300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (523240042327) 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 143 ways as a sum of consecutive naturals, for example, 25690496 + ... + 25710854.

It is an arithmetic number, because the mean of its divisors is an integer number (6160121600).

Almost surely, 2523240042325 is an apocalyptic number.

523240042325 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

523240042325 is a deficient number, since it is larger than the sum of its proper divisors (363817468075).

523240042325 is a wasteful number, since it uses less digits than its factorization.

523240042325 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20492 (or 20474 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 32.

It can be divided in two parts, 5232400 and 42325, that added together give a palindrome (5274725).

The spelling of 523240042325 in words is "five hundred twenty-three billion, two hundred forty million, forty-two thousand, three hundred twenty-five".

Divisors: 1 5 7 11 13 25 35 55 65 77 79 91 143 169 175 275 325 385 395 455 553 715 845 869 1001 1027 1183 1859 1925 1975 2275 2765 3575 4225 4345 5005 5135 5915 6083 7189 9295 11297 13013 13351 13825 20359 21725 25025 25675 29575 30415 35945 46475 56485 65065 66755 79079 93457 101795 142513 146861 152075 179725 223949 264667 282425 325325 333775 395395 467285 508975 712565 734305 1028027 1119745 1323335 1567643 1608361 1852669 1976975 2336425 2911337 3440671 3562825 3671525 5140135 5598725 6616675 7838215 8041805 9263345 11258527 14556685 17203355 17691971 20379359 20908693 24084697 25700675 37847381 39191075 40209025 46316725 56292635 72783425 86016775 88459855 101896795 104543465 120423485 123843797 146360851 189236905 229995623 264931667 271813009 281463175 442299275 509483975 522717325 602117425 619218985 731804255 946184525 1149978115 1324658335 1359065045 1609969361 1902691063 2989943099 3096094925 3659021275 5749890575 6623291675 6795325225 8049846805 9513455315 14949715495 20929601693 40249234025 47567276575 74748577475 104648008465 523240042325