5057321824801 has 3 divisors (see below), whose sum is σ = 5057324073651. Its totient is φ = 5057319575952.

The previous prime is 5057321824783. The next prime is 5057321824811. The reversal of 5057321824801 is 1084281237505.

It is a happy number.

The square root of 5057321824801 is 2248849.

It is a perfect power (a square), and thus also a powerful number.

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It can be written as a sum of positive squares in only one way, i.e., 619052666401 + 4438269158400 = 786799^2 + 2106720^2 .

It is not a de Polignac number, because 5057321824801 - 2⁵ = 5057321824769 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (5057321824811) by changing a digit.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 1124425 + ... + 3373273.

It is an arithmetic number, because the mean of its divisors is an integer number (1685774691217).

Almost surely, 2^{5057321824801} is an apocalyptic number.

5057321824801 is the 2248849-th square number.

5057321824801 is the 1124425-th centered octagonal number.

It is an amenable number.

5057321824801 is a deficient number, since it is larger than the sum of its proper divisors (2248850).

5057321824801 is an frugal number, since it uses more digits than its factorization.

5057321824801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4497698 (or 2248849 counting only the distinct ones).

The product of its (nonzero) digits is 537600, while the sum is 46.

The spelling of 5057321824801 in words is "five trillion, fifty-seven billion, three hundred twenty-one million, eight hundred twenty-four thousand, eight hundred one".