6208534006249 has 9 divisors (see below), whose sum is σ = 6363759736069. Its totient is φ = 6057006679840.

The previous prime is 6208534006229. The next prime is 6208534006267. The reversal of 6208534006249 is 9426004358026.

It is a happy number.

The square root of 6208534006249 is 2491693.

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

6208534006249 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 162187425625 + 6046346580624 = 402725^2 + 2458932^2 .

It is not a de Polignac number, because 6208534006249 - 2¹³ = 6208533998057 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (6208534006219) 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 8 ways as a sum of consecutive naturals, for example, 102129027 + ... + 102189799.

Almost surely, 2^{6208534006249} is an apocalyptic number.

6208534006249 is the 2491693-rd square number.

6208534006249 is the 1245847-th centered octagonal number.

It is an amenable number.

6208534006249 is a deficient number, since it is larger than the sum of its proper divisors (155225729820).

6208534006249 is an frugal number, since it uses more digits than its factorization.

6208534006249 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121628 (or 60814 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 49.

Multiplying 6208534006249 by its sum of digits (49), we get a square (304218166306201 = 17441851²).

The spelling of 6208534006249 in words is "six trillion, two hundred eight billion, five hundred thirty-four million, six thousand, two hundred forty-nine".