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1005135050425 = 521129191659873
BaseRepresentation
bin11101010000001101011…
…01111011011010111001
310120002102120221000101211
432220012231323122321
5112432004033103200
62045430324243121
7132422116650352
oct16500655733271
93502376830354
101005135050425
11358303594320
121429758404a1
1373a260c090c
1436912420d29
151b22c497aba
hexea06b7b6b9

1005135050425 has 48 divisors (see below), whose sum is σ = 1413925217280. Its totient is φ = 702103808000.

The previous prime is 1005135050411. The next prime is 1005135050443. The reversal of 1005135050425 is 5240505315001.

It is not a de Polignac number, because 1005135050425 - 29 = 1005135049913 is a prime.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 1193289 + ... + 1853161.

It is an arithmetic number, because the mean of its divisors is an integer number (29456775360).

Almost surely, 21005135050425 is an apocalyptic number.

It is an amenable number.

1005135050425 is a deficient number, since it is larger than the sum of its proper divisors (408790166855).

1005135050425 is a wasteful number, since it uses less digits than its factorization.

1005135050425 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 660114 (or 660109 counting only the distinct ones).

The product of its (nonzero) digits is 15000, while the sum is 31.

The spelling of 1005135050425 in words is "one trillion, five billion, one hundred thirty-five million, fifty thousand, four hundred twenty-five".

Divisors: 1 5 11 25 29 55 145 191 275 319 725 955 1595 2101 4775 5539 7975 10505 27695 52525 60929 138475 304645 659873 1523225 3299365 7258603 16496825 19136317 36293015 95681585 126035743 181465075 210499487 478407925 630178715 1052497435 1386393173 3150893575 3655036547 5262487175 6931965865 18275182735 34659829325 40205402017 91375913675 201027010085 1005135050425