827901664281 has 40 divisors (see below), whose sum is σ = 1249971841800. Its totient is φ = 546038841600.

The previous prime is 827901664277. The next prime is 827901664321. The reversal of 827901664281 is 182466109728.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 671513052681 + 156388611600 = 819459^2 + 395460^2 .

It is not a de Polignac number, because 827901664281 - 2² = 827901664277 is a prime.

It is a super-2 number, since 2×827901664281² (a number of 25 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (827901664211) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 10506055 + ... + 10584563.

It is an arithmetic number, because the mean of its divisors is an integer number (31249296045).

Almost surely, 2^827901664281 is an apocalyptic number.

827901664281 is a gapful number since it is divisible by the number (81) formed by its first and last digit.

It is an amenable number.

827901664281 is a deficient number, since it is larger than the sum of its proper divisors (422070177519).

827901664281 is a wasteful number, since it uses less digits than its factorization.

827901664281 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79911 (or 79902 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 54.

The spelling of 827901664281 in words is "eight hundred twenty-seven billion, nine hundred one million, six hundred sixty-four thousand, two hundred eighty-one".