1001335314005 has 8 divisors (see below), whose sum is σ = 1294033328952. Its totient is φ = 739447616448.

The previous prime is 1001335313983. The next prime is 1001335314059. The reversal of 1001335314005 is 5004135331001.

It can be written as a sum of positive squares in 4 ways, for example, as 1227311089 + 1000108002916 = 35033^2 + 1000054^2 .

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

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-1001335314005 is a prime.

It is a super-2 number, since 2×1001335314005² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 7702579274 + ... + 7702579403.

It is an arithmetic number, because the mean of its divisors is an integer number (161754166119).

Almost surely, 2^{1001335314005} is an apocalyptic number.

It is an amenable number.

1001335314005 is a deficient number, since it is larger than the sum of its proper divisors (292698014947).

1001335314005 is a wasteful number, since it uses less digits than its factorization.

1001335314005 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15405158695.

The product of its (nonzero) digits is 2700, while the sum is 26.

The spelling of 1001335314005 in words is "one trillion, one billion, three hundred thirty-five million, three hundred fourteen thousand, five".