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131530255025 = 521317531572861
BaseRepresentation
bin111101001111111010…
…0000110101010110001
3110120111120101020212212
41322133310012222301
54123333221130100
6140231341501505
712334304502161
oct1723764065261
9416446336785
10131530255025
1150866444404
12215a9271895
13c531c2ab90
14651a8065a1
15364c387635
hex1e9fd06ab1

131530255025 has 96 divisors (see below), whose sum is σ = 190757978208. Its totient is φ = 89089228800.

The previous prime is 131530255007. The next prime is 131530255033. The reversal of 131530255025 is 520552035131.

It can be written as a sum of positive squares in 48 ways, for example, as 124066677361 + 7463577664 = 352231^2 + 86392^2 .

It is not a de Polignac number, because 131530255025 - 28 = 131530254769 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 131530254982 and 131530255000.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 45972095 + ... + 45974955.

It is an arithmetic number, because the mean of its divisors is an integer number (1987062273).

Almost surely, 2131530255025 is an apocalyptic number.

It is an amenable number.

131530255025 is a deficient number, since it is larger than the sum of its proper divisors (59227723183).

131530255025 is a wasteful number, since it uses less digits than its factorization.

131530255025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3111 (or 3106 counting only the distinct ones).

The product of its (nonzero) digits is 22500, while the sum is 32.

The spelling of 131530255025 in words is "one hundred thirty-one billion, five hundred thirty million, two hundred fifty-five thousand, twenty-five".

Divisors: 1 5 13 17 25 53 65 85 157 221 265 325 425 689 785 901 1105 1325 2041 2669 2861 3445 3925 4505 5525 8321 10205 11713 13345 14305 17225 22525 34697 37193 41605 48637 51025 58565 66725 71525 108173 141457 151633 173485 185965 208025 243185 292825 449177 540865 632281 707285 758165 867425 929825 1215925 1838941 1971229 2245885 2577761 2704325 3161405 3536425 3790825 5839301 7636009 9194705 9856145 11229425 12888805 15807025 23806381 29196505 33510893 38180045 45973525 49280725 64444025 99268117 119031905 145982525 167554465 190900225 309482953 404708477 496340585 595159525 837772325 1547414765 2023542385 2481702925 5261210201 7737073825 10117711925 26306051005 131530255025