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566166401 is a prime number
BaseRepresentation
bin100001101111110…
…000001110000001
31110110100020021222
4201233300032001
52124414311101
6132102524425
720013222623
oct4157601601
91413306258
10566166401
1127064a219
12139736715
13903b0a08
145529ac13
1534a8801b
hex21bf0381

566166401 has 2 divisors, whose sum is σ = 566166402. Its totient is φ = 566166400.

The previous prime is 566166353. The next prime is 566166407. The reversal of 566166401 is 104661665.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 522076801 + 44089600 = 22849^2 + 6640^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-566166401 is a prime.

It is not a weakly prime, because it can be changed into another prime (566166407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 283083200 + 283083201.

It is an arithmetic number, because the mean of its divisors is an integer number (283083201).

Almost surely, 2566166401 is an apocalyptic number.

It is an amenable number.

566166401 is a deficient number, since it is larger than the sum of its proper divisors (1).

566166401 is an equidigital number, since it uses as much as digits as its factorization.

566166401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 25920, while the sum is 35.

The square root of 566166401 is about 23794.2514276033. The cubic root of 566166401 is about 827.2714390831.

The spelling of 566166401 in words is "five hundred sixty-six million, one hundred sixty-six thousand, four hundred one".