2005252502532 has 24 divisors (see below), whose sum is σ = 4679176471872. Its totient is φ = 668381220000.

The previous prime is 2005252502521. The next prime is 2005252502549. The reversal of 2005252502532 is 2352052525002.

It is a happy number.

It is a super-2 number, since 2×2005252502532² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2005252502493 and 2005252502502.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4304344 + ... + 4747407.

It is an arithmetic number, because the mean of its divisors is an integer number (194965686328).

Almost surely, 2^{2005252502532} is an apocalyptic number.

It is an amenable number.

2005252502532 is an abundant number, since it is smaller than the sum of its proper divisors (2673923969340).

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

2005252502532 is a wasteful number, since it uses less digits than its factorization.

2005252502532 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9070219 (or 9070217 counting only the distinct ones).

The product of its (nonzero) digits is 60000, while the sum is 33.

The spelling of 2005252502532 in words is "two trillion, five billion, two hundred fifty-two million, five hundred two thousand, five hundred thirty-two".