1005082249413 has 32 divisors (see below), whose sum is σ = 1472808218112. Its totient is φ = 604626926400.

The previous prime is 1005082249399. The next prime is 1005082249427. The reversal of 1005082249413 is 3149422805001.

It is an interprime number because it is at equal distance from previous prime (1005082249399) and next prime (1005082249427).

It is not a de Polignac number, because 1005082249413 - 2¹⁰ = 1005082248389 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1005082249463) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2403706 + ... + 2790692.

It is an arithmetic number, because the mean of its divisors is an integer number (46025256816).

Almost surely, 2^{1005082249413} is an apocalyptic number.

It is an amenable number.

1005082249413 is a deficient number, since it is larger than the sum of its proper divisors (467725968699).

1005082249413 is a wasteful number, since it uses less digits than its factorization.

1005082249413 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 387585.

The product of its (nonzero) digits is 69120, while the sum is 39.

The spelling of 1005082249413 in words is "one trillion, five billion, eighty-two million, two hundred forty-nine thousand, four hundred thirteen".