2505305352 has 32 divisors (see below), whose sum is σ = 6832651680. Its totient is φ = 759183360.

The previous prime is 2505305347. The next prime is 2505305353. The reversal of 2505305352 is 2535035052.

It is not an unprimeable number, because it can be changed into a prime (2505305353) 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, 4744633 + ... + 4745160.

It is an arithmetic number, because the mean of its divisors is an integer number (213520365).

Almost surely, 2^2505305352 is an apocalyptic number.

2505305352 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

2505305352 is an abundant number, since it is smaller than the sum of its proper divisors (4327346328).

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

2505305352 is a wasteful number, since it uses less digits than its factorization.

2505305352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9489813 (or 9489809 counting only the distinct ones).

The product of its (nonzero) digits is 22500, while the sum is 30.

The square root of 2505305352 is about 50053.0254030663. The cubic root of 2505305352 is about 1358.1681926963.

The spelling of 2505305352 in words is "two billion, five hundred five million, three hundred five thousand, three hundred fifty-two".