2505333258 has 48 divisors (see below), whose sum is σ = 5620591080. Its totient is φ = 805569408.

The previous prime is 2505333253. The next prime is 2505333269. The reversal of 2505333258 is 8523335052.

It can be written as a sum of positive squares in 4 ways, for example, as 2206838529 + 298494729 = 46977^2 + 17277^2 .

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (2505333253) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 978516 + ... + 981072.

Almost surely, 2^2505333258 is an apocalyptic number.

2505333258 is an abundant number, since it is smaller than the sum of its proper divisors (3115257822).

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

2505333258 is a wasteful number, since it uses less digits than its factorization.

2505333258 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4471 (or 4468 counting only the distinct ones).

The product of its (nonzero) digits is 108000, while the sum is 36.

The square root of 2505333258 is about 50053.3041666582. The cubic root of 2505333258 is about 1358.1732354483.

It can be divided in two parts, 25053 and 33258, that added together give a triangular number (58311 = T₃₄₁).

The spelling of 2505333258 in words is "two billion, five hundred five million, three hundred thirty-three thousand, two hundred fifty-eight".