2001352531002 has 96 divisors (see below), whose sum is σ = 4532006222016. Its totient is φ = 588325731840.

The previous prime is 2001352530997. The next prime is 2001352531037.

It is a happy number.

2001352531002 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×2001352531002² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8941953 + ... + 9163035.

It is an arithmetic number, because the mean of its divisors is an integer number (47208398146).

Almost surely, 2^{2001352531002} is an apocalyptic number.

2001352531002 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2001352531002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2266003111008).

2001352531002 is an abundant number, since it is smaller than the sum of its proper divisors (2530653691014).

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

2001352531002 is a wasteful number, since it uses less digits than its factorization.

2001352531002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 221484 (or 221473 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 24.

The spelling of 2001352531002 in words is "two trillion, one billion, three hundred fifty-two million, five hundred thirty-one thousand, two".