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131252712525 = 33521123768571
BaseRepresentation
bin111101000111101000…
…1010111010001001101
3110112210020010122011000
41322033101113101031
54122301143300100
6140144025050513
712324364435314
oct1721721272115
9415706118130
10131252712525
1150733809640
1221530326a39
13c4b9593c4c
1464d19db27b
153632d12900
hex1e8f45744d

131252712525 has 96 divisors (see below), whose sum is σ = 274472432640. Its totient is φ = 60870744000.

The previous prime is 131252712497. The next prime is 131252712527. The reversal of 131252712525 is 525217252131.

131252712525 is a `hidden beast` number, since 1 + 3 + 1 + 2 + 527 + 125 + 2 + 5 = 666.

It is not a de Polignac number, because 131252712525 - 212 = 131252708429 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 131252712525.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131252712527) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 213511 + ... + 555060.

It is an arithmetic number, because the mean of its divisors is an integer number (2859087840).

Almost surely, 2131252712525 is an apocalyptic number.

131252712525 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

131252712525 is an abundant number, since it is smaller than the sum of its proper divisors (143219720115).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

131252712525 is a wasteful number, since it uses less digits than its factorization.

131252712525 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 768624 (or 768613 counting only the distinct ones).

The product of its digits is 42000, while the sum is 36.

Adding to 131252712525 its reverse (525217252131), we get a palindrome (656469964656).

The spelling of 131252712525 in words is "one hundred thirty-one billion, two hundred fifty-two million, seven hundred twelve thousand, five hundred twenty-five".

Divisors: 1 3 5 9 11 15 23 25 27 33 45 55 69 75 99 115 135 165 207 225 253 275 297 345 495 575 621 675 759 825 1035 1265 1485 1725 2277 2475 3105 3795 5175 6325 6831 7425 11385 15525 18975 34155 56925 170775 768571 2305713 3842855 6917139 8454281 11528565 17677133 19214275 20751417 25362843 34585695 42271405 53031399 57642825 76088529 88385665 103757085 126814215 159094197 172928475 194448463 211357025 228265587 265156995 380442645 441928325 477282591 518785425 583345389 634071075 795470985 972242315 1141327935 1325784975 1750036167 1902213225 2386412955 2916726945 3977354925 4861211575 5250108501 5706639675 8750180835 11932064775 14583634725 26250542505 43750904175 131252712525