2505 has 8 divisors (see below), whose sum is σ = 4032. Its totient is φ = 1328.

The previous prime is 2503. The next prime is 2521. The reversal of 2505 is 5052.

Multipling 2505 by its product of nonzero digits (50), we get a triangular number (125250 = T_{500}).

Adding to 2505 its reverse (5052), we get a palindrome (7557).

2505 is nontrivially palindromic in base 16.

2505 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 2505 - 2^{1} = 2503 is a prime.

It is an alternating number because its digits alternate between even and odd.

2505 is an undulating number in base 16.

It is a Curzon number.

2505 is a lucky number.

It is a nialpdrome in base 15.

It is not an unprimeable number, because it can be changed into a prime (2503) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 69 + ... + 98.

It is an arithmetic number, because the mean of its divisors is an integer number (504).

2505 is a Friedman number, since it can be written as 50^2+5, using all its digits and the basic arithmetic operations.

It is an amenable number.

2505 is a deficient number, since it is larger than the sum of its proper divisors (1527).

2505 is a wasteful number, since it uses less digits than its factorization.

2505 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175.

The product of its (nonzero) digits is 50, while the sum is 12.

The square root of 2505 is about 50.0499750250. The cubic root of 2505 is about 13.5811301164.

The spelling of 2505 in words is "two thousand, five hundred five".

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