2005456057 has 6 divisors (see below), whose sum is σ = 2204344394. Its totient is φ = 1823141760.

The previous prime is 2005456049. The next prime is 2005456091. The reversal of 2005456057 is 7506545002.

It can be written as a sum of positive squares in only one way, i.e., 1617326656 + 388129401 = 40216^2 + 19701^2 .

It is not a de Polignac number, because 2005456057 - 2³ = 2005456049 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2005456027) 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 5 ways as a sum of consecutive naturals, for example, 8286888 + ... + 8287129.

Almost surely, 2^2005456057 is an apocalyptic number.

It is an amenable number.

2005456057 is a deficient number, since it is larger than the sum of its proper divisors (198888337).

2005456057 is a wasteful number, since it uses less digits than its factorization.

2005456057 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16574039 (or 16574028 counting only the distinct ones).

The product of its (nonzero) digits is 42000, while the sum is 34.

The square root of 2005456057 is about 44782.3185755271. The cubic root of 2005456057 is about 1261.0657098140.

It can be divided in two parts, 200545 and 6057, that added together give a palindrome (206602).

The spelling of 2005456057 in words is "two billion, five million, four hundred fifty-six thousand, fifty-seven".