6582725944721 has 2 divisors, whose sum is σ = 6582725944722. Its totient is φ = 6582725944720.

The previous prime is 6582725944649. The next prime is 6582725944771. The reversal of 6582725944721 is 1274495272856.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 6237406350400 + 345319594321 = 2497480^2 + 587639^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-6582725944721 is a prime.

It is not a weakly prime, because it can be changed into another prime (6582725944771) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 3291362972360 + 3291362972361.

It is an arithmetic number, because the mean of its divisors is an integer number (3291362972361).

Almost surely, 2^{6582725944721} is an apocalyptic number.

It is an amenable number.

6582725944721 is a deficient number, since it is larger than the sum of its proper divisors (1).

6582725944721 is an equidigital number, since it uses as much as digits as its factorization.

6582725944721 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 67737600, while the sum is 62.

The spelling of 6582725944721 in words is "six trillion, five hundred eighty-two billion, seven hundred twenty-five million, nine hundred forty-four thousand, seven hundred twenty-one".