827864200601 has 6 divisors (see below), whose sum is σ = 879426677070. Its totient is φ = 779166306176.

The previous prime is 827864200547. The next prime is 827864200637. The reversal of 827864200601 is 106002468728.

It can be written as a sum of positive squares in 3 ways, for example, as 238617595225 + 589246605376 = 488485^2 + 767624^2 .

It is not a de Polignac number, because 827864200601 - 2³⁴ = 810684331417 is a prime.

It is a super-2 number, since 2×827864200601² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (827864200651) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1432290716 + ... + 1432291293.

It is an arithmetic number, because the mean of its divisors is an integer number (146571112845).

Almost surely, 2^827864200601 is an apocalyptic number.

It is an amenable number.

827864200601 is a deficient number, since it is larger than the sum of its proper divisors (51562476469).

827864200601 is a wasteful number, since it uses less digits than its factorization.

827864200601 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2864582043 (or 2864582026 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 44.

The spelling of 827864200601 in words is "eight hundred twenty-seven billion, eight hundred sixty-four million, two hundred thousand, six hundred one".