2006013513540 has 96 divisors (see below), whose sum is σ = 5799471584256. Its totient is φ = 517551851520.

The previous prime is 2006013513529. The next prime is 2006013513541. The reversal of 2006013513540 is 453153106002.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 2006013513498 and 2006013513507.

It is not an unprimeable number, because it can be changed into a prime (2006013513541) 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, 7443384 + ... + 7708176.

It is an arithmetic number, because the mean of its divisors is an integer number (60411162336).

Almost surely, 2^{2006013513540} is an apocalyptic number.

2006013513540 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2006013513540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2899735792128).

2006013513540 is an abundant number, since it is smaller than the sum of its proper divisors (3793458070716).

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

2006013513540 is a wasteful number, since it uses less digits than its factorization.

2006013513540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 268909 (or 268907 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 30.

Adding to 2006013513540 its reverse (453153106002), we get a palindrome (2459166619542).

The spelling of 2006013513540 in words is "two trillion, six billion, thirteen million, five hundred thirteen thousand, five hundred forty".