1001008350001 has 12 divisors (see below), whose sum is σ = 1106428755600. Its totient is φ = 904923730040.

The previous prime is 1001008349993. The next prime is 1001008350007. The reversal of 1001008350001 is 1000538001001.

It is not a de Polignac number, because 1001008350001 - 2³ = 1001008349993 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1001008350007) 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 11 ways as a sum of consecutive naturals, for example, 23086711 + ... + 23130028.

It is an arithmetic number, because the mean of its divisors is an integer number (92202396300).

Almost surely, 2^{1001008350001} is an apocalyptic number.

1001008350001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1001008350001 is a deficient number, since it is larger than the sum of its proper divisors (105420405599).

1001008350001 is a wasteful number, since it uses less digits than its factorization.

1001008350001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46216940 (or 46216929 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 19.

The spelling of 1001008350001 in words is "one trillion, one billion, eight million, three hundred fifty thousand, one".