5715813609 has 81 divisors (see below), whose sum is σ = 9519166839. Its totient is φ = 3302339040.

The previous prime is 5715813601. The next prime is 5715813671. The reversal of 5715813609 is 9063185175.

It is a happy number.

The square root of 5715813609 is 75603.

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

5715813609 is a `hidden beast` number, since 5 + 7 + 1 + 581 + 3 + 60 + 9 = 666.

It can be written as a sum of positive squares in only one way, i.e., 2997234009 + 2718579600 = 54747^2 + 52140^2 .

It is not a de Polignac number, because 5715813609 - 2³ = 5715813601 is a prime.

It is not an unprimeable number, because it can be changed into a prime (5715813601) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 72352032 + ... + 72352110.

Almost surely, 2^5715813609 is an apocalyptic number.

5715813609 is the 75603-rd square number.

5715813609 is the 37802-nd centered octagonal number.

It is an amenable number.

5715813609 is a deficient number, since it is larger than the sum of its proper divisors (3803353230).

5715813609 is a wasteful number, since it uses less digits than its factorization.

5715813609 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 244 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 226800, while the sum is 45.

The cubic root of 5715813609 is about 1787.9663982169.

The spelling of 5715813609 in words is "five billion, seven hundred fifteen million, eight hundred thirteen thousand, six hundred nine".