2505333152 has 72 divisors (see below), whose sum is σ = 5774773284. Its totient is φ = 1066770432.

The previous prime is 2505333143. The next prime is 2505333227. The reversal of 2505333152 is 2513335052.

It can be written as a sum of positive squares in 2 ways, for example, as 2503601296 + 1731856 = 50036^2 + 1316^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 241088 + ... + 251264.

Almost surely, 2^2505333152 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2505333152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2887386642).

2505333152 is an abundant number, since it is smaller than the sum of its proper divisors (3269440132).

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

2505333152 is a wasteful number, since it uses less digits than its factorization.

2505333152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10358 (or 10343 counting only the distinct ones).

The product of its (nonzero) digits is 13500, while the sum is 29.

The square root of 2505333152 is about 50053.3031077870. The cubic root of 2505333152 is about 1358.1732162937.

The spelling of 2505333152 in words is "two billion, five hundred five million, three hundred thirty-three thousand, one hundred fifty-two".