6827345700561 has 27 divisors (see below), whose sum is σ = 9903165483601. Its totient is φ = 4532515620864.

The previous prime is 6827345700547. The next prime is 6827345700569. The reversal of 6827345700561 is 1650075437286.

The square root of 6827345700561 is 2612919.

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

6827345700561 is a `hidden beast` number, since 6 + 8 + 2 + 7 + 3 + 4 + 5 + 70 + 0 + 561 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 6243276809025 + 584068891536 = 2498655^2 + 764244^2 .

It is not a de Polignac number, because 6827345700561 - 2⁷ = 6827345700433 is a prime.

It is a super-2 number, since 2×6827345700561² (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 6827345700498 and 6827345700507.

It is not an unprimeable number, because it can be changed into a prime (6827345700569) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 2014558855 + ... + 2014562243.

Almost surely, 2^{6827345700561} is an apocalyptic number.

6827345700561 is the 2612919-th square number.

6827345700561 is the 1306460-th centered octagonal number.

It is an amenable number.

6827345700561 is a deficient number, since it is larger than the sum of its proper divisors (3075819783040).

6827345700561 is an frugal number, since it uses more digits than its factorization.

6827345700561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7298 (or 3649 counting only the distinct ones).

The product of its (nonzero) digits is 8467200, while the sum is 54.

The spelling of 6827345700561 in words is "six trillion, eight hundred twenty-seven billion, three hundred forty-five million, seven hundred thousand, five hundred sixty-one".