681580685241 has 21 divisors (see below), whose sum is σ = 1021936973151. Its totient is φ = 454372263072.

The previous prime is 681580685171. The next prime is 681580685243. The reversal of 681580685241 is 142586085186.

The square root of 681580685241 is 825579.

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

681580685241 is a `hidden beast` number, since 6 + 8 + 1 + 58 + 0 + 68 + 524 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 238695759225 + 442884926016 = 488565^2 + 665496^2 .

It is not a de Polignac number, because 681580685241 - 2¹⁷ = 681580554169 is a prime.

It is a super-2 number, since 2×681580685241² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (681580685243) by changing a digit.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 22275345 + ... + 22305921.

Almost surely, 2^681580685241 is an apocalyptic number.

681580685241 is the 825579-th square number.

681580685241 is the 412790-th centered octagonal number.

It is an amenable number.

681580685241 is a deficient number, since it is larger than the sum of its proper divisors (340356287910).

681580685241 is an frugal number, since it uses more digits than its factorization.

681580685241 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61172 (or 30580 counting only the distinct ones).

The product of its (nonzero) digits is 3686400, while the sum is 54.

The spelling of 681580685241 in words is "six hundred eighty-one billion, five hundred eighty million, six hundred eighty-five thousand, two hundred forty-one".