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1305243251325 = 325213446237009
BaseRepresentation
bin10010111111100110100…
…011110111001001111101
311121210001122110012212200
4102333212203313021331
5132341114233020300
62435342004422113
7163205100402366
oct22774643671175
94553048405780
101305243251325
11463606873552
12190b6b3a7939
1396112474a10
1447261a8ab6d
1523e443cb200
hex12fe68f727d

1305243251325 has 36 divisors (see below), whose sum is σ = 2517669210420. Its totient is φ = 642581291520.

The previous prime is 1305243251309. The next prime is 1305243251359. The reversal of 1305243251325 is 5231523425031.

1305243251325 is a `hidden beast` number, since 1 + 3 + 0 + 5 + 2 + 4 + 325 + 1 + 325 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 2090867076 + 1303152384249 = 45726^2 + 1141557^2 .

It is not a de Polignac number, because 1305243251325 - 24 = 1305243251309 is a prime.

It is a super-2 number, since 2×13052432513252 (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1305243251325.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 223115580 + ... + 223121429.

It is an arithmetic number, because the mean of its divisors is an integer number (69935255845).

Almost surely, 21305243251325 is an apocalyptic number.

1305243251325 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1305243251325 is a deficient number, since it is larger than the sum of its proper divisors (1212425959095).

1305243251325 is a wasteful number, since it uses less digits than its factorization.

1305243251325 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 446237038 (or 446237030 counting only the distinct ones).

The product of its (nonzero) digits is 108000, while the sum is 36.

Adding to 1305243251325 its reverse (5231523425031), we get a palindrome (6536766676356).

The spelling of 1305243251325 in words is "one trillion, three hundred five billion, two hundred forty-three million, two hundred fifty-one thousand, three hundred twenty-five".

Divisors: 1 3 5 9 13 15 25 39 45 65 75 117 195 225 325 585 975 2925 446237009 1338711027 2231185045 4016133081 5801081117 6693555135 11155925225 17403243351 20080665405 29005405585 33467775675 52209730053 87016216755 100403327025 145027027925 261048650265 435081083775 1305243251325