2505280505505 has 16 divisors (see below), whose sum is σ = 4009470684480. Its totient is φ = 1335808977728.

The previous prime is 2505280505503. The next prime is 2505280505573. The reversal of 2505280505505 is 5055050825052.

It is a cyclic number.

It is not a de Polignac number, because 2505280505505 - 2¹ = 2505280505503 is a prime.

It is a super-2 number, since 2×2505280505505² (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2505280505503) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21228270 + ... + 21345959.

It is an arithmetic number, because the mean of its divisors is an integer number (250591917780).

Almost surely, 2^{2505280505505} is an apocalyptic number.

It is an amenable number.

2505280505505 is a deficient number, since it is larger than the sum of its proper divisors (1504190178975).

2505280505505 is a wasteful number, since it uses less digits than its factorization.

2505280505505 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42578160.

The product of its (nonzero) digits is 500000, while the sum is 42.

The spelling of 2505280505505 in words is "two trillion, five hundred five billion, two hundred eighty million, five hundred five thousand, five hundred five".