2505505505505 has 32 divisors (see below), whose sum is σ = 4050483685248. Its totient is φ = 1322380339200.

The previous prime is 2505505505483. The next prime is 2505505505513. The reversal of 2505505505505 is 5055055055052.

It is not a de Polignac number, because 2505505505505 - 2⁶ = 2505505505441 is a prime.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 18528990 + ... + 18663720.

It is an arithmetic number, because the mean of its divisors is an integer number (126577615164).

Almost surely, 2^{2505505505505} is an apocalyptic number.

It is an amenable number.

2505505505505 is a deficient number, since it is larger than the sum of its proper divisors (1544978179743).

2505505505505 is a wasteful number, since it uses less digits than its factorization.

2505505505505 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147617.

The product of its (nonzero) digits is 781250, while the sum is 42.

The spelling of 2505505505505 in words is "two trillion, five hundred five billion, five hundred five million, five hundred five thousand, five hundred five".