5209808041 has 9 divisors (see below), whose sum is σ = 5275507863. Its totient is φ = 5144919120.

The previous prime is 5209808033. The next prime is 5209808057. The reversal of 5209808041 is 1408089025.

The square root of 5209808041 is 72179.

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., 1000393641 + 4209414400 = 31629^2 + 64880^2 .

It is not a de Polignac number, because 5209808041 - 2³ = 5209808033 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (5209808011) 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 8 ways as a sum of consecutive naturals, for example, 6423526 + ... + 6424336.

Almost surely, 2^5209808041 is an apocalyptic number.

5209808041 is the 72179-th square number.

5209808041 is the 36090-th centered octagonal number.

It is an amenable number.

5209808041 is a deficient number, since it is larger than the sum of its proper divisors (65699822).

5209808041 is an frugal number, since it uses more digits than its factorization.

5209808041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1800 (or 900 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 37.

The cubic root of 5209808041 is about 1733.5667712681.

The spelling of 5209808041 in words is "five billion, two hundred nine million, eight hundred eight thousand, forty-one".