1083506905513 has 2 divisors, whose sum is σ = 1083506905514. Its totient is φ = 1083506905512.

The previous prime is 1083506905501. The next prime is 1083506905519. The reversal of 1083506905513 is 3155096053801.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 678206602089 + 405300303424 = 823533^2 + 636632^2 .

It is a cyclic number.

It is not a de Polignac number, because 1083506905513 - 2²¹ = 1083504808361 is a prime.

It is not a weakly prime, because it can be changed into another prime (1083506905519) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 541753452756 + 541753452757.

It is an arithmetic number, because the mean of its divisors is an integer number (541753452757).

Almost surely, 2^{1083506905513} is an apocalyptic number.

It is an amenable number.

1083506905513 is a deficient number, since it is larger than the sum of its proper divisors (1).

1083506905513 is an equidigital number, since it uses as much as digits as its factorization.

1083506905513 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 486000, while the sum is 46.

The spelling of 1083506905513 in words is "one trillion, eighty-three billion, five hundred six million, nine hundred five thousand, five hundred thirteen".