810127805041 has 9 divisors (see below), whose sum is σ = 812770888971. Its totient is φ = 807493297224.

The previous prime is 810127805021. The next prime is 810127805083. The reversal of 810127805041 is 140508721018.

The square root of 810127805041 is 900071.

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., 594627596641 + 215500208400 = 771121^2 + 464220^2 .

It is not a de Polignac number, because 810127805041 - 2¹¹ = 810127802993 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (810127805021) 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, 314123490 + ... + 314126068.

Almost surely, 2^810127805041 is an apocalyptic number.

810127805041 is the 900071-st square number.

810127805041 is the 450036-th centered octagonal number.

It is an amenable number.

810127805041 is a deficient number, since it is larger than the sum of its proper divisors (2643083930).

810127805041 is an frugal number, since it uses more digits than its factorization.

810127805041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5856 (or 2928 counting only the distinct ones).

The product of its (nonzero) digits is 17920, while the sum is 37.

The spelling of 810127805041 in words is "eight hundred ten billion, one hundred twenty-seven million, eight hundred five thousand, forty-one".