2505305133 has 20 divisors (see below), whose sum is σ = 3757086300. Its totient is φ = 1663690752.

The previous prime is 2505305069. The next prime is 2505305183. The reversal of 2505305133 is 3315035052.

2505305133 is a `hidden beast` number, since 2 + 50 + 530 + 51 + 33 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2167554249 + 337750884 = 46557^2 + 18378^2 .

It is not a de Polignac number, because 2505305133 - 2⁶ = 2505305069 is a prime.

It is a super-2 number, since 2×2505305133² = 12553107618872295378, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 2505305097 and 2505305106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2505305183) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 39358 + ... + 80991.

It is an arithmetic number, because the mean of its divisors is an integer number (187854315).

Almost surely, 2^2505305133 is an apocalyptic number.

It is an amenable number.

2505305133 is a deficient number, since it is larger than the sum of its proper divisors (1251781167).

2505305133 is a wasteful number, since it uses less digits than its factorization.

2505305133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120618 (or 120609 counting only the distinct ones).

The product of its (nonzero) digits is 6750, while the sum is 27.

The square root of 2505305133 is about 50053.0232153863. The cubic root of 2505305133 is about 1358.1681531218.

The spelling of 2505305133 in words is "two billion, five hundred five million, three hundred five thousand, one hundred thirty-three".