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125424125 = 534124473
BaseRepresentation
bin1110111100111…
…01000111111101
322202000012112222
413132131013331
5224102033000
620240135125
73052042001
oct736350775
9282005488
10125424125
1164887002
12360074a5
131cca5a78
141292c701
15b027a85
hex779d1fd

125424125 has 16 divisors (see below), whose sum is σ = 160353648. Its totient is φ = 97888000.

The previous prime is 125424121. The next prime is 125424137. The reversal of 125424125 is 521424521.

It can be written as a sum of positive squares in 8 ways, for example, as 56235001 + 69189124 = 7499^2 + 8318^2 .

It is not a de Polignac number, because 125424125 - 22 = 125424121 is a prime.

It is a super-2 number, since 2×1254241252 = 31462422264031250, which contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 125424094 and 125424103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125424121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7112 + ... + 17361.

It is an arithmetic number, because the mean of its divisors is an integer number (10022103).

Almost surely, 2125424125 is an apocalyptic number.

It is an amenable number.

125424125 is a deficient number, since it is larger than the sum of its proper divisors (34929523).

125424125 is an equidigital number, since it uses as much as digits as its factorization.

125424125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24529 (or 24519 counting only the distinct ones).

The product of its digits is 3200, while the sum is 26.

The square root of 125424125 is about 11199.2912722190. The cubic root of 125424125 is about 500.5648616224.

Adding to 125424125 its reverse (521424521), we get a palindrome (646848646).

The spelling of 125424125 in words is "one hundred twenty-five million, four hundred twenty-four thousand, one hundred twenty-five".

Divisors: 1 5 25 41 125 205 1025 5125 24473 122365 611825 1003393 3059125 5016965 25084825 125424125