613808004681 has 21 divisors (see below), whose sum is σ = 920322730551. Its totient is φ = 409191234192.

The previous prime is 613808004653. The next prime is 613808004731. The reversal of 613808004681 is 186400808316.

It is a happy number.

The square root of 613808004681 is 783459.

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., 113087601225 + 500720403456 = 336285^2 + 707616^2 .

It is not a de Polignac number, because 613808004681 - 2¹³ = 613807996489 is a prime.

It is a super-2 number, since 2×613808004681² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (613808004611) 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 20 ways as a sum of consecutive naturals, for example, 21138885 + ... + 21167901.

It is an arithmetic number, because the mean of its divisors is an integer number (43824891931).

Almost surely, 2^613808004681 is an apocalyptic number.

613808004681 is the 783459-th square number.

613808004681 is the 391730-th centered octagonal number.

It is an amenable number.

613808004681 is a deficient number, since it is larger than the sum of its proper divisors (306514725870).

613808004681 is an frugal number, since it uses more digits than its factorization.

613808004681 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58052 (or 29020 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The spelling of 613808004681 in words is "six hundred thirteen billion, eight hundred eight million, four thousand, six hundred eighty-one".