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1042784084225 = 52132246812801
BaseRepresentation
bin11110010110010101100…
…01100110000100000001
310200200121102020002120002
433023022301212010001
5114041110211143400
62115014241525345
7135224106316322
oct17131261460401
93620542202502
101042784084225
11372273480694
1214a122343855
1377446094c00
1438684694449
151c1d2891ed5
hexf2cac66101

1042784084225 has 18 divisors (see below), whose sum is σ = 1400169025746. Its totient is φ = 770055936000.

The previous prime is 1042784084213. The next prime is 1042784084239. The reversal of 1042784084225 is 5224804872401.

It is a happy number.

It is a Cunningham number, because it is equal to 10211682+1.

It can be written as a sum of positive squares in 9 ways, for example, as 798004542721 + 244779541504 = 893311^2 + 494752^2 .

It is not a de Polignac number, because 1042784084225 - 26 = 1042784084161 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 1042784084225.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 123402176 + ... + 123410625.

It is an arithmetic number, because the mean of its divisors is an integer number (77787168097).

Almost surely, 21042784084225 is an apocalyptic number.

It is an amenable number.

1042784084225 is a deficient number, since it is larger than the sum of its proper divisors (357384941521).

1042784084225 is a wasteful number, since it uses less digits than its factorization.

1042784084225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 246812837 (or 246812819 counting only the distinct ones).

The product of its (nonzero) digits is 1146880, while the sum is 47.

The spelling of 1042784084225 in words is "one trillion, forty-two billion, seven hundred eighty-four million, eighty-four thousand, two hundred twenty-five".

Divisors: 1 5 13 25 65 169 325 845 4225 246812801 1234064005 3208566413 6170320025 16042832065 41711363369 80214160325 208556816845 1042784084225