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10575757 is a prime number
BaseRepresentation
bin101000010101…
…111110001101
3201220022012201
4220111332031
510201411012
61014401501
7155615053
oct50257615
921808181
1010575757
115a737a5
123660291
13226395a
1415941d3
15ddd857
hexa15f8d

10575757 has 2 divisors, whose sum is σ = 10575758. Its totient is φ = 10575756.

The previous prime is 10575737. The next prime is 10575767. The reversal of 10575757 is 75757501.

10575757 is nontrivially palindromic in base 11.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 7241481 + 3334276 = 2691^2 + 1826^2 .

It is an emirp because it is prime and its reverse (75757501) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10575757 - 215 = 10542989 is a prime.

It is a super-2 number, since 2×105757572 = 223693272246098, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10575707) 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, 5287878 + 5287879.

It is an arithmetic number, because the mean of its divisors is an integer number (5287879).

Almost surely, 210575757 is an apocalyptic number.

It is an amenable number.

10575757 is a deficient number, since it is larger than the sum of its proper divisors (1).

10575757 is an equidigital number, since it uses as much as digits as its factorization.

10575757 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 42875, while the sum is 37.

The square root of 10575757 is about 3252.0388989063. The cubic root of 10575757 is about 219.5013292019.

The spelling of 10575757 in words is "ten million, five hundred seventy-five thousand, seven hundred fifty-seven".