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53035111125 = 335389383461
BaseRepresentation
bin110001011001001000…
…111001001011010101
312001220002220210101000
4301121020321023111
51332103442024000
640210342253513
73555155002143
oct613110711325
9161802823330
1053035111125
1120545a34a57
12a341427299
1350027c8779
1427d1876593
1515a6072000
hexc592392d5

53035111125 has 128 divisors (see below), whose sum is σ = 99632332800. Its totient is φ = 27834048000.

The previous prime is 53035111079. The next prime is 53035111127. The reversal of 53035111125 is 52111153035.

53035111125 is a `hidden beast` number, since 5 + 30 + 3 + 511 + 112 + 5 = 666.

It is not a de Polignac number, because 53035111125 - 211 = 53035109077 is a prime.

It is a super-3 number, since 3×530351111253 (a number of 33 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53035111127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 115043395 + ... + 115043855.

It is an arithmetic number, because the mean of its divisors is an integer number (778377600).

Almost surely, 253035111125 is an apocalyptic number.

It is an amenable number.

53035111125 is a deficient number, since it is larger than the sum of its proper divisors (46597221675).

53035111125 is a wasteful number, since it uses less digits than its factorization.

53035111125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 957 (or 941 counting only the distinct ones).

The product of its (nonzero) digits is 2250, while the sum is 27.

The spelling of 53035111125 in words is "fifty-three billion, thirty-five million, one hundred eleven thousand, one hundred twenty-five".

Divisors: 1 3 5 9 15 25 27 45 75 89 125 135 225 267 375 383 445 461 675 801 1125 1149 1335 1383 1915 2225 2305 2403 3375 3447 4005 4149 5745 6675 6915 9575 10341 11125 11525 12015 12447 17235 20025 20745 28725 33375 34087 34575 41029 47875 51705 57625 60075 62235 86175 100125 102261 103725 123087 143625 170435 172875 176563 205145 258525 300375 306783 311175 369261 430875 511305 518625 529689 615435 852175 882815 920349 1025725 1107783 1292625 1533915 1555875 1589067 1846305 2556525 2648445 3077175 4260875 4414075 4601745 4767201 5128625 5538915 7669575 7945335 9231525 12782625 13242225 15385875 15714107 22070375 23008725 23836005 27694575 38347875 39726675 46157625 47142321 66211125 78570535 115043625 119180025 138472875 141426963 198633375 235711605 392852675 424280889 595900125 707134815 1178558025 1964263375 2121404445 3535674075 5892790125 10607022225 17678370375 53035111125