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5205130125 = 3531317181347
BaseRepresentation
bin1001101100011111…
…11111101110001101
3111102202101000012020
410312033333232031
541130003131000
62220300000353
7242662606326
oct46617775615
914382330166
105205130125
112231184338
1210132300b9
1364c4c0c70
1437541b44d
15206e75ba0
hex1363ffb8d

5205130125 has 128 divisors (see below), whose sum is σ = 9959459328. Its totient is φ = 2391552000.

The previous prime is 5205130121. The next prime is 5205130127. The reversal of 5205130125 is 5210315025.

It is a happy number.

It is not a de Polignac number, because 5205130125 - 22 = 5205130121 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 5205130095 and 5205130104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5205130121) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 15000202 + ... + 15000548.

It is an arithmetic number, because the mean of its divisors is an integer number (77808276).

Almost surely, 25205130125 is an apocalyptic number.

It is an amenable number.

5205130125 is a deficient number, since it is larger than the sum of its proper divisors (4754329203).

5205130125 is a wasteful number, since it uses less digits than its factorization.

5205130125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 576 (or 566 counting only the distinct ones).

The product of its (nonzero) digits is 1500, while the sum is 24.

The square root of 5205130125 is about 72146.5877571490. The cubic root of 5205130125 is about 1733.0477561037.

It can be divided in two parts, 5205 and 130125, that multiplied together give a square (677300625 = 260252).

The spelling of 5205130125 in words is "five billion, two hundred five million, one hundred thirty thousand, one hundred twenty-five".

Divisors: 1 3 5 13 15 17 25 39 51 65 75 85 125 181 195 221 255 325 347 375 425 543 663 905 975 1041 1105 1275 1625 1735 2125 2353 2715 3077 3315 4511 4525 4875 5205 5525 5899 6375 7059 8675 9231 11765 13533 13575 15385 16575 17697 22555 22625 26025 27625 29495 35295 40001 43375 46155 58825 62807 67665 67875 76687 76925 82875 88485 112775 120003 130125 147475 176475 188421 200005 230061 230775 294125 314035 338325 383435 384625 442425 563875 600015 737375 816491 882375 942105 1000025 1067719 1150305 1153875 1570175 1691625 1917175 2212125 2449473 3000075 3203157 4082455 4710525 5000125 5338595 5751525 7850875 9585875 12247365 13880347 15000375 16015785 20412275 23552625 26692975 28757625 41641041 61236825 69401735 80078925 102061375 133464875 208205205 306184125 347008675 400394625 1041026025 1735043375 5205130125