1083506905507 has 32 divisors (see below), whose sum is σ = 1208847628800. Its totient is φ = 964812625920.

The previous prime is 1083506905501. The next prime is 1083506905513. The reversal of 1083506905507 is 7055096053801.

It is an interprime number because it is at equal distance from previous prime (1083506905501) and next prime (1083506905513).

It is not a de Polignac number, because 1083506905507 - 2²³ = 1083498516899 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1083506905501) 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 in 31 ways as a sum of consecutive naturals, for example, 170172238 + ... + 170178604.

It is an arithmetic number, because the mean of its divisors is an integer number (37776488400).

Almost surely, 2^{1083506905507} is an apocalyptic number.

1083506905507 is a deficient number, since it is larger than the sum of its proper divisors (125340723293).

1083506905507 is a wasteful number, since it uses less digits than its factorization.

1083506905507 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10543.

The product of its (nonzero) digits is 1134000, while the sum is 49.

The spelling of 1083506905507 in words is "one trillion, eighty-three billion, five hundred six million, nine hundred five thousand, five hundred seven".