5182028829649 has 9 divisors (see below), whose sum is σ = 6028092889371. Its totient is φ = 4441725338400.

The previous prime is 5182028829611. The next prime is 5182028829707. The reversal of 5182028829649 is 9469288202815.

The square root of 5182028829649 is 2276407.

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., 2457548469649 + 2724480360000 = 1567657^2 + 1650600^2 .

It is not a de Polignac number, because 5182028829649 - 2²⁵ = 5181995275217 is a prime.

It is a super-2 number, since 2×5182028829649² (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (5182028829449) 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, 15772249 + ... + 16097449.

It is an arithmetic number, because the mean of its divisors is an integer number (669788098819).

Almost surely, 2^{5182028829649} is an apocalyptic number.

5182028829649 is the 2276407-th square number.

5182028829649 is the 1138204-th centered octagonal number.

It is an amenable number.

5182028829649 is a deficient number, since it is larger than the sum of its proper divisors (846064059722).

5182028829649 is an frugal number, since it uses more digits than its factorization.

5182028829649 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 650416 (or 325208 counting only the distinct ones).

The product of its (nonzero) digits is 39813120, while the sum is 64.

Multiplying 5182028829649 by its sum of digits (64), we get a square (331649845097536 = 18211256²).

The spelling of 5182028829649 in words is "five trillion, one hundred eighty-two billion, twenty-eight million, eight hundred twenty-nine thousand, six hundred forty-nine".