2006513688 has 32 divisors (see below), whose sum is σ = 5178101760. Its totient is φ = 647262240.

The previous prime is 2006513681. The next prime is 2006513699. The reversal of 2006513688 is 8863156002.

It is a happy number.

2006513688 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2006513688² = 8052194360262722688, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2006513681) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1347720 + ... + 1349207.

It is an arithmetic number, because the mean of its divisors is an integer number (161815680).

Almost surely, 2^2006513688 is an apocalyptic number.

It is an amenable number.

2006513688 is an abundant number, since it is smaller than the sum of its proper divisors (3171588072).

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

2006513688 is a wasteful number, since it uses less digits than its factorization.

2006513688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2696967 (or 2696963 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 39.

The square root of 2006513688 is about 44794.1255970021. The cubic root of 2006513688 is about 1261.2873564548.

The spelling of 2006513688 in words is "two billion, six million, five hundred thirteen thousand, six hundred eighty-eight".