2001516011205 has 64 divisors (see below), whose sum is σ = 3255777607680. Its totient is φ = 1049771923200.

The previous prime is 2001516011113. The next prime is 2001516011207. The reversal of 2001516011205 is 5021106151002.

It is not a de Polignac number, because 2001516011205 - 2²¹ = 2001513914053 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2001516011207) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1069756420 + ... + 1069758290.

It is an arithmetic number, because the mean of its divisors is an integer number (50871525120).

Almost surely, 2^{2001516011205} is an apocalyptic number.

It is an amenable number.

2001516011205 is a deficient number, since it is larger than the sum of its proper divisors (1254261596475).

2001516011205 is a wasteful number, since it uses less digits than its factorization.

2001516011205 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3962.

The product of its (nonzero) digits is 600, while the sum is 24.

The spelling of 2001516011205 in words is "two trillion, one billion, five hundred sixteen million, eleven thousand, two hundred five".