1006309081301 has 8 divisors (see below), whose sum is σ = 1006998285720. Its totient is φ = 1005620018688.

The previous prime is 1006309081291. The next prime is 1006309081303. The reversal of 1006309081301 is 1031809036001.

It can be written as a sum of positive squares in 4 ways, for example, as 16313931076 + 989995150225 = 127726^2 + 994985^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 1006309081301 - 2³⁰ = 1005235339477 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1006309081303) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16846355 + ... + 16905983.

It is an arithmetic number, because the mean of its divisors is an integer number (125874785715).

Almost surely, 2^{1006309081301} is an apocalyptic number.

It is an amenable number.

1006309081301 is a deficient number, since it is larger than the sum of its proper divisors (689204419).

1006309081301 is an equidigital number, since it uses as much as digits as its factorization.

1006309081301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70903.

The product of its (nonzero) digits is 3888, while the sum is 32.

The spelling of 1006309081301 in words is "one trillion, six billion, three hundred nine million, eighty-one thousand, three hundred one".