6821322275601 has 16 divisors (see below), whose sum is σ = 10120078725120. Its totient is φ = 4541060941200.

The previous prime is 6821322275597. The next prime is 6821322275609. The reversal of 6821322275601 is 1065722231286.

6821322275601 is a `hidden beast` number, since 6 + 8 + 2 + 1 + 32 + 2 + 2 + 7 + 5 + 601 = 666.

It is not a de Polignac number, because 6821322275601 - 2² = 6821322275597 is a prime.

It is a super-2 number, since 2×6821322275601² (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (6821322275609) 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 15 ways as a sum of consecutive naturals, for example, 180181905 + ... + 180219758.

It is an arithmetic number, because the mean of its divisors is an integer number (632504920320).

Almost surely, 2^{6821322275601} is an apocalyptic number.

It is an amenable number.

6821322275601 is a deficient number, since it is larger than the sum of its proper divisors (3298756449519).

6821322275601 is a wasteful number, since it uses less digits than its factorization.

6821322275601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 360402373 (or 360402367 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 6821322275601 in words is "six trillion, eight hundred twenty-one billion, three hundred twenty-two million, two hundred seventy-five thousand, six hundred one".