41837020681 has 9 divisors (see below), whose sum is σ = 42172876501. Its totient is φ = 41503823392.

The previous prime is 41837020679. The next prime is 41837020691. The reversal of 41837020681 is 18602073814.

The square root of 41837020681 is 204541.

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

41837020681 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 9931916281 + 31905104400 = 99659^2 + 178620^2 .

It is not a de Polignac number, because 41837020681 - 2¹ = 41837020679 is a prime.

It is a super-2 number, since 2×41837020681² (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (41837020601) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 28021371 + ... + 28022863.

Almost surely, 2^41837020681 is an apocalyptic number.

41837020681 is the 204541-st square number.

41837020681 is the 102271-st centered octagonal number.

It is an amenable number.

41837020681 is a deficient number, since it is larger than the sum of its proper divisors (335855820).

41837020681 is an frugal number, since it uses more digits than its factorization.

41837020681 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3260 (or 1630 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 40.

The spelling of 41837020681 in words is "forty-one billion, eight hundred thirty-seven million, twenty thousand, six hundred eighty-one".