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10706561 is a prime number
BaseRepresentation
bin101000110101…
…111010000001
3202010221122022
4220311322001
510220102221
61021251225
7160001315
oct50657201
922127568
1010706561
116052aa8
123703b15
1322ab358
1415c9b45
15e174ab
hexa35e81

10706561 has 2 divisors, whose sum is σ = 10706562. Its totient is φ = 10706560.

The previous prime is 10706543. The next prime is 10706567. The reversal of 10706561 is 16560701.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 10627600 + 78961 = 3260^2 + 281^2 .

It is a cyclic number.

It is not a de Polignac number, because 10706561 - 210 = 10705537 is a prime.

It is a super-2 number, since 2×107065612 = 229260896893442, which contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 10706561.

It is not a weakly prime, because it can be changed into another prime (10706567) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5353280 + 5353281.

It is an arithmetic number, because the mean of its divisors is an integer number (5353281).

Almost surely, 210706561 is an apocalyptic number.

It is an amenable number.

10706561 is a deficient number, since it is larger than the sum of its proper divisors (1).

10706561 is an equidigital number, since it uses as much as digits as its factorization.

10706561 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1260, while the sum is 26.

The square root of 10706561 is about 3272.0881711837. The cubic root of 10706561 is about 220.4025755543.

The spelling of 10706561 in words is "ten million, seven hundred six thousand, five hundred sixty-one".