2005460125 has 32 divisors (see below), whose sum is σ = 2582877024. Its totient is φ = 1553472000.

The previous prime is 2005460099. The next prime is 2005460129. The reversal of 2005460125 is 5210645002.

It can be written as a sum of positive squares in 16 ways, for example, as 1868054841 + 137405284 = 43221^2 + 11722^2 .

It is a de Polignac number, because none of the positive numbers 2^k-2005460125 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 2005460125.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2005460129) by changing a digit.

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, 1076695 + ... + 1078555.

It is an arithmetic number, because the mean of its divisors is an integer number (80714907).

Almost surely, 2^2005460125 is an apocalyptic number.

2005460125 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

2005460125 is a deficient number, since it is larger than the sum of its proper divisors (577416899).

2005460125 is a wasteful number, since it uses less digits than its factorization.

2005460125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2146 (or 2136 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 25.

The square root of 2005460125 is about 44782.3639952158. The cubic root of 2005460125 is about 1261.0665624899.

The spelling of 2005460125 in words is "two billion, five million, four hundred sixty thousand, one hundred twenty-five".