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6981253920077 is a prime number
BaseRepresentation
bin110010110010111001100…
…1010001111010101001101
3220201101211120220110002212
41211211303022033111031
51403340102000420302
622503051020000205
71320243660134033
oct145456312172515
926641746813085
106981253920077
112251807923008
1294901b990065
133b8438973948
141a1c746b8553
15c18e9ac0052
hex6597328f54d

6981253920077 has 2 divisors, whose sum is σ = 6981253920078. Its totient is φ = 6981253920076.

The previous prime is 6981253919977. The next prime is 6981253920143. The reversal of 6981253920077 is 7700293521896.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 4331605725001 + 2649648195076 = 2081251^2 + 1627774^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-6981253920077 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 6981253919998 and 6981253920025.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (6981253920677) 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 as a sum of consecutive naturals, namely, 3490626960038 + 3490626960039.

It is an arithmetic number, because the mean of its divisors is an integer number (3490626960039).

Almost surely, 26981253920077 is an apocalyptic number.

It is an amenable number.

6981253920077 is a deficient number, since it is larger than the sum of its proper divisors (1).

6981253920077 is an equidigital number, since it uses as much as digits as its factorization.

6981253920077 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 11430720, while the sum is 59.

The spelling of 6981253920077 in words is "six trillion, nine hundred eighty-one billion, two hundred fifty-three million, nine hundred twenty thousand, seventy-seven".