827566738506 has 12 divisors (see below), whose sum is σ = 1793061266802. Its totient is φ = 275855579496.

The previous prime is 827566738501. The next prime is 827566738507. The reversal of 827566738506 is 605837665728.

It is a happy number.

827566738506 is a `hidden beast` number, since 8 + 2 + 7 + 56 + 6 + 73 + 8 + 506 = 666.

It can be written as a sum of positive squares in only one way, i.e., 671758912881 + 155807825625 = 819609^2 + 394725^2 .

It is a super-2 number, since 2×827566738506² (a number of 25 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (827566738501) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 22987964941 + ... + 22987964976.

Almost surely, 2^827566738506 is an apocalyptic number.

827566738506 is an abundant number, since it is smaller than the sum of its proper divisors (965494528296).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

827566738506 is a wasteful number, since it uses less digits than its factorization.

827566738506 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45975929925 (or 45975929922 counting only the distinct ones).

The product of its (nonzero) digits is 101606400, while the sum is 63.

The spelling of 827566738506 in words is "eight hundred twenty-seven billion, five hundred sixty-six million, seven hundred thirty-eight thousand, five hundred six".