1006574313043 has 16 divisors (see below), whose sum is σ = 1102644718560. Its totient is φ = 913174672896.

The previous prime is 1006574312993. The next prime is 1006574313047. The reversal of 1006574313043 is 3403134756001.

It is a cyclic number.

It is not a de Polignac number, because 1006574313043 - 2²⁹ = 1006037442131 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1006574312993 and 1006574313011.

It is not an unprimeable number, because it can be changed into a prime (1006574313047) 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 15 ways as a sum of consecutive naturals, for example, 3030571 + ... + 3346267.

It is an arithmetic number, because the mean of its divisors is an integer number (68915294910).

Almost surely, 2^{1006574313043} is an apocalyptic number.

1006574313043 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

1006574313043 is a deficient number, since it is larger than the sum of its proper divisors (96070405517).

1006574313043 is a wasteful number, since it uses less digits than its factorization.

1006574313043 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 319926.

The product of its (nonzero) digits is 90720, while the sum is 37.

The spelling of 1006574313043 in words is "one trillion, six billion, five hundred seventy-four million, three hundred thirteen thousand, forty-three".