1005936949049 has 2 divisors, whose sum is σ = 1005936949050. Its totient is φ = 1005936949048.

The previous prime is 1005936948997. The next prime is 1005936949051. The reversal of 1005936949049 is 9409496395001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 916867531024 + 89069418025 = 957532^2 + 298445^2 .

It is an emirp because it is prime and its reverse (9409496395001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 1005936949049 - 2¹⁶ = 1005936883513 is a prime.

Together with 1005936949051, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (1005936949249) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 502968474524 + 502968474525.

It is an arithmetic number, because the mean of its divisors is an integer number (502968474525).

Almost surely, 2^{1005936949049} is an apocalyptic number.

It is an amenable number.

1005936949049 is a deficient number, since it is larger than the sum of its proper divisors (1).

1005936949049 is an equidigital number, since it uses as much as digits as its factorization.

1005936949049 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 9447840, while the sum is 59.

The spelling of 1005936949049 in words is "one trillion, five billion, nine hundred thirty-six million, nine hundred forty-nine thousand, forty-nine".