Search a number
-
+
5253650563525 = 527133131104309
BaseRepresentation
bin100110001110011010111…
…1110011100000111000101
3200121020120221101211020221
41030130311332130013011
51142033434021013100
615101254352224341
71051364233656220
oct114346576340705
920536527354227
105253650563525
111746073865161
1270a238b3b0b1
132c1556558000
141423c6d4a5b7
15919d5c8901a
hex4c735f9c1c5

5253650563525 has 96 divisors (see below), whose sum is σ = 8126967340800. Its totient is φ = 3299971334400.

The previous prime is 5253650563477. The next prime is 5253650563529.

5253650563525 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 5253650563525 - 211 = 5253650561477 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5253650563529) 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, 50314071 + ... + 50418379.

It is an arithmetic number, because the mean of its divisors is an integer number (84655909800).

Almost surely, 25253650563525 is an apocalyptic number.

It is an amenable number.

5253650563525 is a deficient number, since it is larger than the sum of its proper divisors (2873316777275).

5253650563525 is a wasteful number, since it uses less digits than its factorization.

5253650563525 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104496 (or 104465 counting only the distinct ones).

The product of its (nonzero) digits is 20250000, while the sum is 52.

The spelling of 5253650563525 in words is "five trillion, two hundred fifty-three billion, six hundred fifty million, five hundred sixty-three thousand, five hundred twenty-five".

Divisors: 1 5 7 13 25 35 65 91 131 169 175 325 455 655 845 917 1183 1703 2197 2275 3275 4225 4585 5915 8515 10985 11921 15379 22139 22925 29575 42575 54925 59605 76895 104309 110695 154973 287807 298025 384475 521545 553475 730163 774865 1356017 1439035 2014649 2607725 3650815 3874325 6780085 7195175 9492119 10073245 13664479 17628221 18254075 33900425 47460595 50366225 68322395 88141105 95651353 123397547 177638227 229166873 237302975 341611975 440705525 478256765 616987735 888191135 1145834365 1243467589 1604168111 2309296951 2391283825 3084938675 4440955675 5729171825 6217337945 8020840555 11546484755 16165078657 30020860363 31086689725 40104202775 57732423775 80825393285 150104301815 210146022541 404126966425 750521509075 1050730112705 5253650563525