1005150610013 has 8 divisors (see below), whose sum is σ = 1096535657280. Its totient is φ = 913766849280.

The previous prime is 1005150609971. The next prime is 1005150610063. The reversal of 1005150610013 is 3100160515001.

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 1005150610013 - 2⁶ = 1005150609949 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1005150610063) 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 7 ways as a sum of consecutive naturals, for example, 2113808 + ... + 2545286.

It is an arithmetic number, because the mean of its divisors is an integer number (137066957160).

Almost surely, 2^{1005150610013} is an apocalyptic number.

It is an amenable number.

1005150610013 is a deficient number, since it is larger than the sum of its proper divisors (91385047267).

1005150610013 is a wasteful number, since it uses less digits than its factorization.

1005150610013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 643267.

The product of its (nonzero) digits is 450, while the sum is 23.

The spelling of 1005150610013 in words is "one trillion, five billion, one hundred fifty million, six hundred ten thousand, thirteen".