5185008049 has 27 divisors (see below), whose sum is σ = 5845419489. Its totient is φ = 4596926880.

The previous prime is 5185008047. The next prime is 5185008079. The reversal of 5185008049 is 9408005815.

The square root of 5185008049 is 72007.

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

It can be written as a sum of positive squares in 4 ways, for example, as 664866225 + 4520141824 = 25785^2 + 67232^2 .

It is not a de Polignac number, because 5185008049 - 2¹ = 5185008047 is a prime.

It is not an unprimeable number, because it can be changed into a prime (5185008047) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 27146544 + ... + 27146734.

Almost surely, 2^5185008049 is an apocalyptic number.

5185008049 is the 72007-th square number.

5185008049 is the 36004-th centered octagonal number.

It is an amenable number.

5185008049 is a deficient number, since it is larger than the sum of its proper divisors (660411440).

5185008049 is an equidigital number, since it uses as much as digits as its factorization.

5185008049 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 466 (or 233 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 40.

The cubic root of 5185008049 is about 1730.8116575179.

Multiplying 5185008049 by its product of nonzero digits (57600), we get a square (298656463622400 = 17281680²).

The spelling of 5185008049 in words is "five billion, one hundred eighty-five million, eight thousand, forty-nine".