5057642415601 has 32 divisors (see below), whose sum is σ = 5165822914560. Its totient is φ = 4951086940800.

The previous prime is 5057642415499. The next prime is 5057642415643. The reversal of 5057642415601 is 1065142467505.

It is not a de Polignac number, because 5057642415601 - 2⁷ = 5057642415473 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (5057642412601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2217290581 + ... + 2217292861.

It is an arithmetic number, because the mean of its divisors is an integer number (161431966080).

Almost surely, 2^{5057642415601} is an apocalyptic number.

It is an amenable number.

5057642415601 is a deficient number, since it is larger than the sum of its proper divisors (108180498959).

5057642415601 is a wasteful number, since it uses less digits than its factorization.

5057642415601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3277.

The product of its (nonzero) digits is 1008000, while the sum is 46.

The spelling of 5057642415601 in words is "five trillion, fifty-seven billion, six hundred forty-two million, four hundred fifteen thousand, six hundred one".