2505280330305 has 48 divisors (see below), whose sum is σ = 4497342580224. Its totient is φ = 1289302116480.

The previous prime is 2505280330283. The next prime is 2505280330313. The reversal of 2505280330305 is 5030330825052.

It is not a de Polignac number, because 2505280330305 - 2¹² = 2505280326209 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 2505280330305.

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 47 ways as a sum of consecutive naturals, for example, 8191594 + ... + 8491923.

It is an arithmetic number, because the mean of its divisors is an integer number (93694637088).

Almost surely, 2^{2505280330305} is an apocalyptic number.

It is an amenable number.

2505280330305 is a deficient number, since it is larger than the sum of its proper divisors (1992062249919).

2505280330305 is a wasteful number, since it uses less digits than its factorization.

2505280330305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16683646 (or 16683643 counting only the distinct ones).

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

The spelling of 2505280330305 in words is "two trillion, five hundred five billion, two hundred eighty million, three hundred thirty thousand, three hundred five".