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685111820801 is a prime number
BaseRepresentation
bin10011111100000111101…
…10001100001000000001
32102111101121202112100112
421332003312030020001
542211102111231201
61242422552001105
7100332465251162
oct11760366141001
92374347675315
10685111820801
11244610842271
12b0942690195
134c7b4b42c55
1425233cab769
1512c4bed00bb
hex9f83d8c201

685111820801 has 2 divisors, whose sum is σ = 685111820802. Its totient is φ = 685111820800.

The previous prime is 685111820759. The next prime is 685111820839. The reversal of 685111820801 is 108028111586.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 684152308225 + 959512576 = 827135^2 + 30976^2 .

It is a cyclic number.

It is not a de Polignac number, because 685111820801 - 238 = 410233913857 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (685111823801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 342555910400 + 342555910401.

It is an arithmetic number, because the mean of its divisors is an integer number (342555910401).

Almost surely, 2685111820801 is an apocalyptic number.

It is an amenable number.

685111820801 is a deficient number, since it is larger than the sum of its proper divisors (1).

685111820801 is an equidigital number, since it uses as much as digits as its factorization.

685111820801 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 30720, while the sum is 41.

The spelling of 685111820801 in words is "six hundred eighty-five billion, one hundred eleven million, eight hundred twenty thousand, eight hundred one".