1005093134339 has 16 divisors (see below), whose sum is σ = 1203284325888. Its totient is φ = 820845053952.

The previous prime is 1005093134323. The next prime is 1005093134351. The reversal of 1005093134339 is 9334313905001.

It is not a de Polignac number, because 1005093134339 - 2⁴ = 1005093134323 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1005093134296 and 1005093134305.

It is not an unprimeable number, because it can be changed into a prime (1005093134399) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12104177 + ... + 12186930.

It is an arithmetic number, because the mean of its divisors is an integer number (75205270368).

Almost surely, 2^{1005093134339} is an apocalyptic number.

1005093134339 is a deficient number, since it is larger than the sum of its proper divisors (198191191549).

1005093134339 is a wasteful number, since it uses less digits than its factorization.

1005093134339 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24291394.

The product of its (nonzero) digits is 131220, while the sum is 41.

The spelling of 1005093134339 in words is "one trillion, five billion, ninety-three million, one hundred thirty-four thousand, three hundred thirty-nine".