5056971010441 has 81 divisors (see below), whose sum is σ = 6249058252839. Its totient is φ = 4080170102400.

The previous prime is 5056971010433. The next prime is 5056971010447. The reversal of 5056971010441 is 1440101796505.

The square root of 5056971010441 is 2248771.

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

It can be written as a sum of positive squares in only one way, i.e., 3803198132041 + 1253772878400 = 1950179^2 + 1119720^2 .

It is not a de Polignac number, because 5056971010441 - 2³ = 5056971010433 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (43).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (5056971010447) 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 80 ways as a sum of consecutive naturals, for example, 20983282081 + ... + 20983282321.

It is an arithmetic number, because the mean of its divisors is an integer number (77148867319).

Almost surely, 2^{5056971010441} is an apocalyptic number.

5056971010441 is the 2248771-st square number.

5056971010441 is the 1124386-th centered octagonal number.

It is an amenable number.

5056971010441 is a deficient number, since it is larger than the sum of its proper divisors (1192087242398).

5056971010441 is an frugal number, since it uses more digits than its factorization.

5056971010441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 644 (or 322 counting only the distinct ones).

The product of its (nonzero) digits is 151200, while the sum is 43.

The spelling of 5056971010441 in words is "five trillion, fifty-six billion, nine hundred seventy-one million, ten thousand, four hundred forty-one".