2001052512 has 144 divisors (see below), whose sum is σ = 5926087440. Its totient is φ = 665127936.

The previous prime is 2001052499. The next prime is 2001052517. The reversal of 2001052512 is 2152501002.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×2001052512² = 8008422311563020288, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2001052517) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5668528 + ... + 5668880.

It is an arithmetic number, because the mean of its divisors is an integer number (41153385).

Almost surely, 2^2001052512 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2001052512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2963043720).

2001052512 is an abundant number, since it is smaller than the sum of its proper divisors (3925034928).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2001052512 is an frugal number, since it uses more digits than its factorization.

2001052512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 396 (or 358 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 18.

The square root of 2001052512 is about 44733.1254441270. The cubic root of 2001052512 is about 1260.1420248070.

Adding to 2001052512 its reverse (2152501002), we get a palindrome (4153553514).

The spelling of 2001052512 in words is "two billion, one million, fifty-two thousand, five hundred twelve".