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125106409 is a prime number
BaseRepresentation
bin1110111010011…
…11100011101001
322201102001201201
413131033203221
5224011401114
620225244201
73046246501
oct735174351
9281361651
10125106409
116468a32a
1235a93661
131cbc427c
1412888a01
15aeb3874
hex774f8e9

125106409 has 2 divisors, whose sum is σ = 125106410. Its totient is φ = 125106408.

The previous prime is 125106403. The next prime is 125106437. The reversal of 125106409 is 904601521.

It is an a-pointer prime, because the next prime (125106437) can be obtained adding 125106409 to its sum of digits (28).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 89965225 + 35141184 = 9485^2 + 5928^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-125106409 is a prime.

It is a super-2 number, since 2×1251064092 = 31303227145750562, which contains 22 as substring.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (125106403) 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, 62553204 + 62553205.

It is an arithmetic number, because the mean of its divisors is an integer number (62553205).

Almost surely, 2125106409 is an apocalyptic number.

It is an amenable number.

125106409 is a deficient number, since it is larger than the sum of its proper divisors (1).

125106409 is an equidigital number, since it uses as much as digits as its factorization.

125106409 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2160, while the sum is 28.

The square root of 125106409 is about 11185.0976303294. The cubic root of 125106409 is about 500.1418384266.

The spelling of 125106409 in words is "one hundred twenty-five million, one hundred six thousand, four hundred nine".