6822120862561 has 9 divisors (see below), whose sum is σ = 6893433073299. Its totient is φ = 6751538975424.

The previous prime is 6822120862541. The next prime is 6822120862567. The reversal of 6822120862561 is 1652680212286.

The square root of 6822120862561 is 2611919.

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., 3063392565025 + 3758728297536 = 1750255^2 + 1938744^2 .

It is not a de Polignac number, because 6822120862561 - 2⁹ = 6822120862049 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (6822120862567) 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, 253342680 + ... + 253369606.

Almost surely, 2^{6822120862561} is an apocalyptic number.

6822120862561 is the 2611919-th square number.

6822120862561 is the 1305960-th centered octagonal number.

It is an amenable number.

6822120862561 is a deficient number, since it is larger than the sum of its proper divisors (71312210738).

6822120862561 is an frugal number, since it uses more digits than its factorization.

6822120862561 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54048 (or 27024 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 49.

Multiplying 6822120862561 by its sum of digits (49), we get a square (334283922265489 = 18283433²).

The spelling of 6822120862561 in words is "six trillion, eight hundred twenty-two billion, one hundred twenty million, eight hundred sixty-two thousand, five hundred sixty-one".