Search a number
-
+
525116808611525 = 52135346385377191
BaseRepresentation
bin111011101100101110100100…
…0110101111100011011000101
32112212021200021021011120000202
41313121131020311330123011
51022312003211001032100
65100455155342220245
7215415303020531534
oct16731351065743305
92485250237146022
10525116808611525
11142355873770049
124aa8b1a4884685
13197013c19b10a0
149395b095c031b
1540a975ebae7d5
hex1dd9748d7c6c5

525116808611525 has 96 divisors (see below), whose sum is σ = 716855520310272. Its totient is φ = 379190280268800.

The previous prime is 525116808611519. The next prime is 525116808611533.

525116808611525 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 525116808611525 - 24 = 525116808611509 is a prime.

It is a Duffinian number.

It is a congruent number.

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, 6802785680 + ... + 6802862870.

It is an arithmetic number, because the mean of its divisors is an integer number (7467245003232).

Almost surely, 2525116808611525 is an apocalyptic number.

It is an amenable number.

525116808611525 is a deficient number, since it is larger than the sum of its proper divisors (191738711698747).

525116808611525 is a wasteful number, since it uses less digits than its factorization.

525116808611525 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78583 (or 78578 counting only the distinct ones).

The product of its (nonzero) digits is 5760000, while the sum is 56.

The spelling of 525116808611525 in words is "five hundred twenty-five trillion, one hundred sixteen billion, eight hundred eight million, six hundred eleven thousand, five hundred twenty-five".

Divisors: 1 5 13 25 53 65 265 325 463 689 853 1325 2315 3445 4265 6019 11089 11575 17225 21325 24539 30095 45209 55445 77191 122695 150475 226045 277225 319007 385955 394939 587717 613475 1003483 1130225 1595035 1929775 1974695 2938585 4091123 5017415 5134207 7975175 9873475 14692925 20455615 20931767 25087075 25671035 35739433 53184599 65843923 102278075 104658835 128355175 178697165 265922995 272112971 329219615 464612629 523294175 855970999 893485825 1329614975 1360564855 1646098075 1894189949 2323063145 3489727919 4279854995 6802824275 9470949745 11615315725 17448639595 21399274975 24624469337 30485736349 45366462947 47354748725 87243197975 123122346685 152428681745 226832314735 396314572537 615611733425 762143408725 1134161573675 1615744026497 1981572862685 8078720132485 9907864313425 21004672344461 40393600662425 105023361722305 525116808611525