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4131330525 = 325276314157
BaseRepresentation
bin1111011000111111…
…0001100111011101
3101122220211100001200
43312033301213131
531430110034100
61521540430113
7204243505260
oct36617614735
911586740050
104131330525
111830034853
129736a8339
1350abb499a
142b297ccd7
15192a67e00
hexf63f19dd

4131330525 has 72 divisors (see below), whose sum is σ = 8472207744. Its totient is φ = 1885161600.

The previous prime is 4131330487. The next prime is 4131330527. The reversal of 4131330525 is 5250331314.

4131330525 is a `hidden beast` number, since 4 + 1 + 3 + 133 + 0 + 525 = 666.

It is not a de Polignac number, because 4131330525 - 27 = 4131330397 is a prime.

It is a super-3 number, since 3×41313305253 (a number of 30 digits) contains 333 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4131330527) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 991747 + ... + 995903.

It is an arithmetic number, because the mean of its divisors is an integer number (117669552).

Almost surely, 24131330525 is an apocalyptic number.

4131330525 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

4131330525 is an abundant number, since it is smaller than the sum of its proper divisors (4340877219).

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

4131330525 is a wasteful number, since it uses less digits than its factorization.

4131330525 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4811 (or 4803 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 27.

The square root of 4131330525 is about 64275.4270697597. The cubic root of 4131330525 is about 1604.5871649067.

Adding to 4131330525 its reverse (5250331314), we get a palindrome (9381661839).

The spelling of 4131330525 in words is "four billion, one hundred thirty-one million, three hundred thirty thousand, five hundred twenty-five".

Divisors: 1 3 5 7 9 15 21 25 35 45 63 75 105 175 225 315 525 631 1575 1893 3155 4157 4417 5679 9465 12471 13251 15775 20785 22085 28395 29099 37413 39753 47325 62355 66255 87297 103925 110425 141975 145495 187065 198765 261891 311775 331275 436485 727475 935325 993825 1309455 2182425 2623067 6547275 7869201 13115335 18361469 23607603 39346005 55084407 65576675 91807345 118038015 165253221 196730025 275422035 459036725 590190075 826266105 1377110175 4131330525