2505025305305 has 8 divisors (see below), whose sum is σ = 3039805989000. Its totient is φ = 1981503162496.

The previous prime is 2505025305287. The next prime is 2505025305319. The reversal of 2505025305305 is 5035035205052.

It can be written as a sum of positive squares in 4 ways, for example, as 52503306496 + 2452521998809 = 229136^2 + 1566053^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 2505025305305 - 2²⁰ = 2505024256729 is a prime.

It is a super-2 number, since 2×2505025305305² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2814634730 + ... + 2814635619.

It is an arithmetic number, because the mean of its divisors is an integer number (379975748625).

Almost surely, 2^{2505025305305} is an apocalyptic number.

It is an amenable number.

2505025305305 is a deficient number, since it is larger than the sum of its proper divisors (534780683695).

2505025305305 is an equidigital number, since it uses as much as digits as its factorization.

2505025305305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5629270443.

The product of its (nonzero) digits is 112500, while the sum is 35.

The spelling of 2505025305305 in words is "two trillion, five hundred five billion, twenty-five million, three hundred five thousand, three hundred five".