5249812815009 has 117 divisors (see below), whose sum is σ = 9180829101027. Its totient is φ = 2993211760896.

The previous prime is 5249812814947. The next prime is 5249812815017. The reversal of 5249812815009 is 9005182189425.

The square root of 5249812815009 is 2291247.

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

5249812815009 is a `hidden beast` number, since 5 + 2 + 4 + 9 + 8 + 128 + 1 + 500 + 9 = 666.

It can be written as a sum of positive squares in only one way, i.e., 3208229069409 + 2041583745600 = 1791153^2 + 1428840^2 .

It is not a de Polignac number, because 5249812815009 - 2¹¹ = 5249812812961 is a prime.

It is not an unprimeable number, because it can be changed into a prime (5249812815059) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 116 ways as a sum of consecutive naturals, for example, 11692233217 + ... + 11692233665.

Almost surely, 2^{5249812815009} is an apocalyptic number.

5249812815009 is the 2291247-th square number.

5249812815009 is the 1145624-th centered octagonal number.

It is an amenable number.

5249812815009 is a deficient number, since it is larger than the sum of its proper divisors (3931016286018).

5249812815009 is an frugal number, since it uses more digits than its factorization.

5249812815009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 948 (or 459 counting only the distinct ones).

The product of its (nonzero) digits is 2073600, while the sum is 54.

The spelling of 5249812815009 in words is "five trillion, two hundred forty-nine billion, eight hundred twelve million, eight hundred fifteen thousand, nine".