5053409584441 has 9 divisors (see below), whose sum is σ = 5073729220399. Its totient is φ = 5033171029504.

The previous prime is 5053409584417. The next prime is 5053409584459. The reversal of 5053409584441 is 1444859043505.

The square root of 5053409584441 is 2247979.

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., 4975063335225 + 78346249216 = 2230485^2 + 279904^2 .

It is not a de Polignac number, because 5053409584441 - 2¹³ = 5053409576249 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (5053409584141) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 577726230 + ... + 577734976.

Almost surely, 2^{5053409584441} is an apocalyptic number.

5053409584441 is the 2247979-th square number.

5053409584441 is the 1123990-th centered octagonal number.

It is an amenable number.

5053409584441 is a deficient number, since it is larger than the sum of its proper divisors (20319635958).

5053409584441 is an frugal number, since it uses more digits than its factorization.

5053409584441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18008 (or 9004 counting only the distinct ones).

The product of its (nonzero) digits is 6912000, while the sum is 52.

The spelling of 5053409584441 in words is "five trillion, fifty-three billion, four hundred nine million, five hundred eighty-four thousand, four hundred forty-one".