2505605345 has 16 divisors (see below), whose sum is σ = 3045295440. Its totient is φ = 1978905600.

The previous prime is 2505605327. The next prime is 2505605357. The reversal of 2505605345 is 5435065052.

It can be written as a sum of positive squares in 8 ways, for example, as 8904256 + 2496701089 = 2984^2 + 49967^2 .

It is not a de Polignac number, because 2505605345 - 2⁶ = 2505605281 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 144965 + ... + 161325.

It is an arithmetic number, because the mean of its divisors is an integer number (190330965).

Almost surely, 2^2505605345 is an apocalyptic number.

It is an amenable number.

2505605345 is a deficient number, since it is larger than the sum of its proper divisors (539690095).

2505605345 is a wasteful number, since it uses less digits than its factorization.

2505605345 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16756.

The product of its (nonzero) digits is 90000, while the sum is 35.

The square root of 2505605345 is about 50056.0220652820. The cubic root of 2505605345 is about 1358.2224009506. Note that the first 3 decimals are identical.

The spelling of 2505605345 in words is "two billion, five hundred five million, six hundred five thousand, three hundred forty-five".