G'day willk1980,

Your sample data contains groupings of 9-digit (not 10-digit) numbers:

$ perl -Mstrict -Mwarnings -E '
    my @originals = (5125670001, 5125760002, 5125760003);
    my @inputs = qw{
        512567001512567002512567003
        512567002512567001512567003
        512567003512567001512567002
    };
    my $canon_original = join q{} => sort @originals;
    for (@inputs) {
        my $canon_input = join q{} => sort /(\d{10})/g;
        say "$_ is ", ($canon_input eq $canon_original) ? "same" : "no
+t same";
    }
'
512567001512567002512567003 is not same
512567002512567001512567003 is not same
512567003512567001512567002 is not same
[download]

Changing the 00[1-3] to 000[1-3] to make them 10-digit groupings:

$ perl -Mstrict -Mwarnings -E '
    my @originals = (5125670001, 5125760002, 5125760003);
    my @inputs = qw{
        512567000151256700025125670003
        512567000251256700015125670003
        512567000351256700015125670002
    };
    my $canon_original = join q{} => sort @originals;
    for (@inputs) {
        my $canon_input = join q{} => sort /(\d{10})/g;
        say "$_ is ", ($canon_input eq $canon_original) ? "same" : "no
+t same";
    }
'
512567000151256700025125670003 is not same
512567000251256700015125670003 is not same
512567000351256700015125670002 is not same
[download]

Reversing the order of 67 in each instance of 5125670002 and 5125670003 to match the originals:

$ perl -Mstrict -Mwarnings -E '
    my @originals = (5125670001, 5125760002, 5125760003);
    my @inputs = qw{
        512567000151257600025125760003
        512576000251256700015125760003
        512576000351256700015125760002
    };
    my $canon_original = join q{} => sort @originals;
    for (@inputs) {
        my $canon_input = join q{} => sort /(\d{10})/g;
        say "$_ is ", ($canon_input eq $canon_original) ? "same" : "no
+t same";
    }
'
512567000151257600025125760003 is same
512576000251256700015125760003 is same
512576000351256700015125760002 is same
[download]