2001516011229 has 32 divisors (see below), whose sum is σ = 3101624657920. Its totient is φ = 1124358148800.

The previous prime is 2001516011219. The next prime is 2001516011267. The reversal of 2001516011229 is 9221106151002.

It is not a de Polignac number, because 2001516011229 - 2³² = 1997221043933 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 2001516011196 and 2001516011205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2001516011219) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1918842 + ... + 2772180.

It is an arithmetic number, because the mean of its divisors is an integer number (96925770560).

Almost surely, 2^{2001516011229} is an apocalyptic number.

It is an amenable number.

2001516011229 is a deficient number, since it is larger than the sum of its proper divisors (1100108646691).

2001516011229 is a wasteful number, since it uses less digits than its factorization.

2001516011229 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 855241.

The product of its (nonzero) digits is 2160, while the sum is 30.

The spelling of 2001516011229 in words is "two trillion, one billion, five hundred sixteen million, eleven thousand, two hundred twenty-nine".