2613243601809 has 45 divisors (see below), whose sum is σ = 3979953730753. Its totient is φ = 1708787047968.

The previous prime is 2613243601781. The next prime is 2613243601811. The reversal of 2613243601809 is 9081063423162.

The square root of 2613243601809 is 1616553.

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

2613243601809 is a `hidden beast` number, since 2 + 6 + 1 + 32 + 4 + 3 + 601 + 8 + 0 + 9 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1454761638225 + 1158481963584 = 1206135^2 + 1076328^2 .

It is a de Polignac number, because none of the positive numbers 2^k-2613243601809 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2613243501809) 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 44 ways as a sum of consecutive naturals, for example, 771094087 + ... + 771097475.

Almost surely, 2^{2613243601809} is an apocalyptic number.

2613243601809 is the 1616553-rd square number.

2613243601809 is the 808277-th centered octagonal number.

It is an amenable number.

2613243601809 is a deficient number, since it is larger than the sum of its proper divisors (1366710128944).

2613243601809 is an frugal number, since it uses more digits than its factorization.

2613243601809 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6896 (or 3445 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The spelling of 2613243601809 in words is "two trillion, six hundred thirteen billion, two hundred forty-three million, six hundred one thousand, eight hundred nine".