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125235605 = 5112317653
BaseRepresentation
bin1110111011011…
…11000110010101
322201122121221202
413131233012111
5224030014410
620232122245
73050325245
oct735570625
9281577852
10125235605
1164768400
1235b36385
131cc3b011
14128bdb25
15aedbca5
hex776f195

125235605 has 24 divisors (see below), whose sum is σ = 165961656. Its totient is φ = 90654080.

The previous prime is 125235599. The next prime is 125235611. The reversal of 125235605 is 506532521.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (125235599) and next prime (125235611).

It can be written as a sum of positive squares in 4 ways, for example, as 1069156 + 124166449 = 1034^2 + 11143^2 .

It is not a de Polignac number, because 125235605 - 28 = 125235349 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

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 in 23 ways as a sum of consecutive naturals, for example, 191459 + ... + 192111.

It is an arithmetic number, because the mean of its divisors is an integer number (6915069).

Almost surely, 2125235605 is an apocalyptic number.

It is an amenable number.

125235605 is a deficient number, since it is larger than the sum of its proper divisors (40726051).

125235605 is a wasteful number, since it uses less digits than its factorization.

125235605 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 997 (or 986 counting only the distinct ones).

The product of its (nonzero) digits is 9000, while the sum is 29.

The square root of 125235605 is about 11190.8715031493. The cubic root of 125235605 is about 500.3139428385.

The spelling of 125235605 in words is "one hundred twenty-five million, two hundred thirty-five thousand, six hundred five".

Divisors: 1 5 11 55 121 317 605 653 1585 3265 3487 7183 17435 35915 38357 79013 191785 207001 395065 1035005 2277011 11385055 25047121 125235605