2001767013 has 20 divisors (see below), whose sum is σ = 2996753760. Its totient is φ = 1331628552.

The previous prime is 2001766969. The next prime is 2001767041. The reversal of 2001767013 is 3107671002.

It is not a de Polignac number, because 2001767013 - 2¹⁰ = 2001765989 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2001767063) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 11368 + ... + 64286.

It is an arithmetic number, because the mean of its divisors is an integer number (149837688).

Almost surely, 2^2001767013 is an apocalyptic number.

It is an amenable number.

2001767013 is a deficient number, since it is larger than the sum of its proper divisors (994986747).

2001767013 is an equidigital number, since it uses as much as digits as its factorization.

2001767013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53398 (or 53389 counting only the distinct ones).

The product of its (nonzero) digits is 1764, while the sum is 27.

The square root of 2001767013 is about 44741.1109942523. The cubic root of 2001767013 is about 1260.2919901526.

The spelling of 2001767013 in words is "two billion, one million, seven hundred sixty-seven thousand, thirteen".