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4001001563325 = 35213107121731513
BaseRepresentation
bin111010001110001110010…
…001101110010010111101
3112011111021200022101112010
4322032032101232102331
51011023022400011300
612302011301001433
7562030356104604
oct72161621562275
915144250271463
104001001563325
1113028a7092a58
125475073b3279
132303a6462360
14db914376a3b
156e11dd99a50
hex3a38e46e4bd

4001001563325 has 96 divisors (see below), whose sum is σ = 7196549141376. Its totient is φ = 1949649960960.

The previous prime is 4001001563323. The next prime is 4001001563333. The reversal of 4001001563325 is 5233651001004.

It is not a de Polignac number, because 4001001563325 - 21 = 4001001563323 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 4001001563292 and 4001001563301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4001001563323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 126947769 + ... + 126979281.

It is an arithmetic number, because the mean of its divisors is an integer number (74964053556).

Almost surely, 24001001563325 is an apocalyptic number.

It is an amenable number.

4001001563325 is a deficient number, since it is larger than the sum of its proper divisors (3195547578051).

4001001563325 is a wasteful number, since it uses less digits than its factorization.

4001001563325 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32863 (or 32858 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 30.

Adding to 4001001563325 its reverse (5233651001004), we get a palindrome (9234652564329).

The spelling of 4001001563325 in words is "four trillion, one billion, one million, five hundred sixty-three thousand, three hundred twenty-five".

Divisors: 1 3 5 13 15 25 39 65 75 107 195 321 325 535 975 1217 1391 1605 2675 3651 4173 6085 6955 8025 15821 18255 20865 30425 31513 34775 47463 79105 91275 94539 104325 130219 157565 237315 390657 395525 409669 472695 651095 787825 1186575 1229007 1692847 1953285 2048345 2363475 3255475 3371891 5078541 6145035 8464235 9766425 10115673 10241725 16859455 25392705 30725175 38351321 42321175 43834583 50578365 84297275 115053963 126963525 131503749 191756605 219172915 252891825 498567173 575269815 657518745 958783025 1095864575 1495701519 2492835865 2876349075 3287593725 4103591347 7478507595 12310774041 12464179325 20517956735 37392537975 53346687511 61553870205 102589783675 160040062533 266733437555 307769351025 800200312665 1333667187775 4001001563325