1005054053344 has 24 divisors (see below), whose sum is σ = 2158582001688. Its totient is φ = 456842751360.

The previous prime is 1005054053243. The next prime is 1005054053347. The reversal of 1005054053344 is 4433504505001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1005054053347) 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 3 ways as a sum of consecutive naturals, for example, 1427633247 + ... + 1427633950.

It is an arithmetic number, because the mean of its divisors is an integer number (89940916737).

Almost surely, 2^{1005054053344} is an apocalyptic number.

It is an amenable number.

1005054053344 is an abundant number, since it is smaller than the sum of its proper divisors (1153527948344).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1005054053344 is a wasteful number, since it uses less digits than its factorization.

1005054053344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2855267218 (or 2855267210 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 34.

Adding to 1005054053344 its reverse (4433504505001), we get a palindrome (5438558558345).

The spelling of 1005054053344 in words is "one trillion, five billion, fifty-four million, fifty-three thousand, three hundred forty-four".