2005252564 has 12 divisors (see below), whose sum is σ = 4010505184. Its totient is φ = 859393944.

The previous prime is 2005252553. The next prime is 2005252591. The reversal of 2005252564 is 4652525002.

It is a happy number.

2005252564 is an admirable number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 35808054 + ... + 35808109.

Almost surely, 2^2005252564 is an apocalyptic number.

It is an amenable number.

2005252564 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

2005252564 is a wasteful number, since it uses less digits than its factorization.

2005252564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71616174 (or 71616172 counting only the distinct ones).

The product of its (nonzero) digits is 24000, while the sum is 31.

The square root of 2005252564 is about 44780.0464939464. The cubic root of 2005252564 is about 1261.0230550566.

Adding to 2005252564 its reverse (4652525002), we get a palindrome (6657777566).

The spelling of 2005252564 in words is "two billion, five million, two hundred fifty-two thousand, five hundred sixty-four".