Search a number
-
+
2030505525 = 325241534153
BaseRepresentation
bin111100100000111…
…0000111000110101
312020111202100221100
41321001300320311
513124302134100
6533252440313
7101214004116
oct17101607065
95214670840
102030505525
11952192944
12488019099
13264898479
1415395a20d
15bd3db400
hex79070e35

2030505525 has 72 divisors (see below), whose sum is σ = 3796772616. Its totient is φ = 1036339200.

The previous prime is 2030505511. The next prime is 2030505571. The reversal of 2030505525 is 5255050302.

It can be written as a sum of positive squares in 12 ways, for example, as 1510255044 + 520250481 = 38862^2 + 22809^2 .

It is not a de Polignac number, because 2030505525 - 25 = 2030505493 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 486849 + ... + 491001.

It is an arithmetic number, because the mean of its divisors is an integer number (52732953).

Almost surely, 22030505525 is an apocalyptic number.

2030505525 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

2030505525 is a deficient number, since it is larger than the sum of its proper divisors (1766267091).

2030505525 is a wasteful number, since it uses less digits than its factorization.

2030505525 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4263 (or 4255 counting only the distinct ones).

The product of its (nonzero) digits is 7500, while the sum is 27.

The square root of 2030505525 is about 45061.1309778172. The cubic root of 2030505525 is about 1266.2945134387.

Adding to 2030505525 its reverse (5255050302), we get a palindrome (7285555827).

The spelling of 2030505525 in words is "two billion, thirty million, five hundred five thousand, five hundred twenty-five".

Divisors: 1 3 5 9 15 25 41 45 53 75 123 159 205 225 265 369 477 615 795 1025 1325 1845 2173 2385 3075 3975 4153 6519 9225 10865 11925 12459 19557 20765 32595 37377 54325 62295 97785 103825 162975 170273 186885 220109 311475 488925 510819 660327 851365 934425 1100545 1532457 1980981 2554095 3301635 4256825 5502725 7662285 9024469 9904905 12770475 16508175 27073407 38311425 45122345 49524525 81220221 135367035 225611725 406101105 676835175 2030505525