Search a number
-
+
2525299196161 = 764121132
BaseRepresentation
bin100100101111110111100…
…011111100000100000001
322221102020102221212222211
4210233313203330010001
5312333303043234121
65212034553502121
7350306161000000
oct44576743740401
98842212855884
102525299196161
11893a7861a865
12349505711941
13154199bc45b1
148a321aa0c37
1545a4ebd3ce1
hex24bf78fc101

2525299196161 has 63 divisors (see below), whose sum is σ = 3046749767113. Its totient is φ = 2093060417280.

The previous prime is 2525299196093. The next prime is 2525299196179. The reversal of 2525299196161 is 1616919925252.

The square root of 2525299196161 is 1589119.

It is a perfect power (a square), and thus also a powerful number.

2525299196161 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 2221098412225 + 304200783936 = 1490335^2 + 551544^2 .

It is not a de Polignac number, because 2525299196161 - 29 = 2525299195649 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2525299196096 and 2525299196105.

It is not an unprimeable number, because it can be changed into a prime (2525299193161) by changing a digit.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 22347780441 + ... + 22347780553.

Almost surely, 22525299196161 is an apocalyptic number.

2525299196161 is the 1589119-th square number.

2525299196161 is the 794560-th centered octagonal number.

It is an amenable number.

2525299196161 is a deficient number, since it is larger than the sum of its proper divisors (521450570952).

2525299196161 is an frugal number, since it uses more digits than its factorization.

2525299196161 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 350 (or 161 counting only the distinct ones).

The product of its digits is 5248800, while the sum is 58.

The spelling of 2525299196161 in words is "two trillion, five hundred twenty-five billion, two hundred ninety-nine million, one hundred ninety-six thousand, one hundred sixty-one".

Divisors: 1 7 41 49 113 287 343 791 1681 2009 2401 4633 5537 11767 12769 14063 16807 32431 38759 82369 89383 98441 117649 189953 227017 271313 523529 576583 625681 689087 1329671 1589119 1899191 3664703 4036081 4379767 4823609 9307697 11123833 13294337 21464689 25652921 28252567 30658369 65153879 77866831 150252823 179570447 197767969 214608583 456077153 545067817 1051769761 1256993129 1502260081 3192540071 7362388327 8798951903 22347780497 51536718289 61592663321 360757028023 2525299196161