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125433125 = 54972069
BaseRepresentation
bin1110111100111…
…11010100100101
322202000122220022
413132133110211
5224102330000
620240244525
73052110146
oct736372445
9282018808
10125433125
1164892844
1236010745
131cca9bac
1412931acd
15b02a585
hex779f525

125433125 has 20 divisors (see below), whose sum is σ = 158433660. Its totient is φ = 99264000.

The previous prime is 125433103. The next prime is 125433127. The reversal of 125433125 is 521334521.

It is a happy number.

It can be written as a sum of positive squares in 10 ways, for example, as 115390564 + 10042561 = 10742^2 + 3169^2 .

It is not a de Polignac number, because 125433125 - 210 = 125432101 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 125433094 and 125433103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125433127) 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 in 19 ways as a sum of consecutive naturals, for example, 59591 + ... + 61659.

It is an arithmetic number, because the mean of its divisors is an integer number (7921683).

Almost surely, 2125433125 is an apocalyptic number.

It is an amenable number.

125433125 is a deficient number, since it is larger than the sum of its proper divisors (33000535).

125433125 is an frugal number, since it uses more digits than its factorization.

125433125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2186 (or 2171 counting only the distinct ones).

The product of its digits is 3600, while the sum is 26.

The square root of 125433125 is about 11199.6930761517. The cubic root of 125433125 is about 500.5768342685.

Adding to 125433125 its reverse (521334521), we get a palindrome (646767646).

The spelling of 125433125 in words is "one hundred twenty-five million, four hundred thirty-three thousand, one hundred twenty-five".

Divisors: 1 5 25 97 125 485 625 2069 2425 10345 12125 51725 60625 200693 258625 1003465 1293125 5017325 25086625 125433125